%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG004-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:40 PM UTC 2026
% Result : Unsatisfiable 55.66s 8.39s
% Output : Refutation 55.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 61 ( 31 unt; 0 def)
% Number of atoms : 121 ( 23 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 121 ( 61 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 120 ( 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',closure_of_multiplication) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',closure_of_addition) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',left_inverse) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',right_inverse) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition1) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity1) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity2) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X1,X6)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity3) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity4) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',multiplication_is_well_defined) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X3,X2)
| ~ sum(X0,X1,X2)
| X1 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation1) ).
fof(f20,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).
fof(f21,axiom,
product(additive_inverse(a),additive_inverse(b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b_inverse) ).
fof(f22,negated_conjecture,
c != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f23,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f16,f1]) ).
fof(f24,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f16,f2]) ).
fof(f32,plain,
! [X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = X1 ),
inference(resolution,[],[f18,f2]) ).
fof(f50,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(resolution,[],[f23,f4]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( ~ product(additive_inverse(a),X2,X3)
| ~ sum(X2,X0,additive_inverse(b))
| ~ product(additive_inverse(a),X0,X1)
| sum(X3,X1,d) ),
inference(resolution,[],[f12,f21]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( ~ product(additive_inverse(a),X0,X1)
| ~ sum(additive_inverse(b),X0,X2)
| ~ sum(d,X1,X3)
| product(additive_inverse(a),X2,X3) ),
inference(resolution,[],[f13,f21]) ).
fof(f66,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(resolution,[],[f24,f4]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,b,X3)
| ~ sum(X2,X0,a)
| ~ product(X0,b,X1)
| sum(X3,X1,c) ),
inference(resolution,[],[f14,f20]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,b,X1)
| ~ sum(a,X0,X2)
| ~ sum(c,X1,X3)
| product(X2,b,X3) ),
inference(resolution,[],[f15,f20]) ).
fof(f81,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f9,f4]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,add(X2,X0))
| X1 = X2 ),
inference(resolution,[],[f81,f18]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X1,X0) = X2 ),
inference(resolution,[],[f81,f16]) ).
fof(f195,plain,
! [X0,X1] :
( ~ sum(a,X0,a)
| ~ product(X0,b,X1)
| sum(c,X1,c) ),
inference(resolution,[],[f67,f20]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ sum(c,multiply(X0,b),X2)
| ~ sum(a,X0,X1)
| product(X1,b,X2) ),
inference(resolution,[],[f71,f3]) ).
fof(f214,plain,
! [X2,X3,X0,X1] :
( ~ sum(X3,X0,additive_identity)
| ~ sum(X0,X1,X2)
| sum(X3,X2,X1) ),
inference(resolution,[],[f7,f1]) ).
fof(f228,plain,
! [X0,X1] :
( ~ sum(additive_inverse(b),X0,additive_inverse(b))
| ~ product(additive_inverse(a),X0,X1)
| sum(d,X1,d) ),
inference(resolution,[],[f57,f21]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ sum(d,multiply(additive_inverse(a),X0),X2)
| ~ sum(additive_inverse(b),X0,X1)
| product(additive_inverse(a),X1,X2) ),
inference(resolution,[],[f61,f3]) ).
fof(f286,plain,
! [X0] :
( ~ product(additive_identity,b,X0)
| sum(c,X0,c) ),
inference(resolution,[],[f195,f2]) ).
fof(f291,plain,
sum(c,multiply(additive_identity,b),c),
inference(resolution,[],[f286,f3]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_inverse(X0),X2,X1) ),
inference(resolution,[],[f214,f5]) ).
fof(f296,plain,
additive_identity = multiply(additive_identity,b),
inference(resolution,[],[f291,f32]) ).
fof(f315,plain,
product(additive_identity,b,additive_identity),
inference(superposition,[],[f3,f296]) ).
fof(f333,plain,
! [X0] :
( ~ product(additive_identity,b,X0)
| additive_identity = X0 ),
inference(resolution,[],[f315,f17]) ).
fof(f406,plain,
! [X0] :
( ~ product(additive_inverse(a),additive_identity,X0)
| sum(d,X0,d) ),
inference(resolution,[],[f228,f2]) ).
fof(f424,plain,
sum(d,multiply(additive_inverse(a),additive_identity),d),
inference(resolution,[],[f406,f3]) ).
fof(f428,plain,
additive_identity = multiply(additive_inverse(a),additive_identity),
inference(resolution,[],[f424,f32]) ).
fof(f441,plain,
product(additive_inverse(a),additive_identity,additive_identity),
inference(superposition,[],[f3,f428]) ).
fof(f446,plain,
! [X0,X1] : sum(additive_inverse(X0),add(X0,X1),X1),
inference(resolution,[],[f292,f4]) ).
fof(f471,plain,
! [X0] :
( ~ product(additive_inverse(a),additive_identity,X0)
| additive_identity = X0 ),
inference(resolution,[],[f441,f17]) ).
fof(f562,plain,
! [X0,X1] : add(add(X0,X1),additive_inverse(X0)) = X1,
inference(resolution,[],[f446,f85]) ).
fof(f570,plain,
! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1,
inference(resolution,[],[f446,f84]) ).
fof(f1250,plain,
! [X0,X1] :
( ~ sum(a,X0,X1)
| product(X1,b,add(c,multiply(X0,b))) ),
inference(resolution,[],[f207,f4]) ).
fof(f1590,plain,
! [X0,X1] :
( ~ sum(additive_inverse(b),X0,X1)
| product(additive_inverse(a),X1,add(d,multiply(additive_inverse(a),X0))) ),
inference(resolution,[],[f241,f4]) ).
fof(f7791,plain,
product(additive_identity,b,add(c,multiply(additive_inverse(a),b))),
inference(resolution,[],[f1250,f6]) ).
fof(f11127,plain,
additive_identity = add(c,multiply(additive_inverse(a),b)),
inference(resolution,[],[f7791,f333]) ).
fof(f11244,plain,
add(additive_identity,additive_inverse(c)) = multiply(additive_inverse(a),b),
inference(superposition,[],[f562,f11127]) ).
fof(f11302,plain,
additive_inverse(c) = multiply(additive_inverse(a),b),
inference(forward_demodulation,[],[f11244,f50]) ).
fof(f13506,plain,
product(additive_inverse(a),additive_identity,add(d,multiply(additive_inverse(a),b))),
inference(resolution,[],[f1590,f5]) ).
fof(f13533,plain,
product(additive_inverse(a),additive_identity,add(d,additive_inverse(c))),
inference(forward_demodulation,[],[f13506,f11302]) ).
fof(f13548,plain,
additive_identity = add(d,additive_inverse(c)),
inference(resolution,[],[f13533,f471]) ).
fof(f13606,plain,
d = add(c,additive_identity),
inference(superposition,[],[f570,f13548]) ).
fof(f13704,plain,
c = d,
inference(forward_demodulation,[],[f13606,f66]) ).
fof(f13731,plain,
$false,
inference(global_subsumption,[],[f13704,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG004-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n003.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 22:59:56 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.18/2.79 % (1023236)Will run a generic schedule for satisfiability detection.
% 16.18/2.79 % (1023243)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1352138145:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.18/2.79 % (1023242)% WARNING: option uhcvi not known.
% 16.18/2.79 % (1023242)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=686389295:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.18/2.79 % (1023246)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2992032029:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.18/2.79 % (1023241)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1173732286_2999 on theBenchmark for (2999ds/0Mi)
% 16.18/2.79 % (1023244)dis+10_1_sil=32000:sp=arity:random_seed=773605349:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.18/2.79 % (1023247)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1825454817:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.18/2.79 % TRYING [1]
% 16.18/2.79 % TRYING [2]
% 16.18/2.79 % TRYING [3]
% 16.18/2.79 % (1023245)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2618174673:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.18/2.79 % TRYING [4]
% 16.18/2.79 % TRYING [5]
% 16.18/2.79 % (1023244)Instruction limit reached!
% 16.18/2.79 % (1023244)------------------------------
% 16.18/2.79 % (1023244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.79 % (1023244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.79 % (1023244)CaDiCaL version: 2.1.3
% 16.18/2.79 % (1023244)Termination reason: Instruction limit
% 16.18/2.79 % (1023244)Termination phase: Saturation
% 16.18/2.79 % (1023244)Time elapsed: 0.064 s
% 16.18/2.79 % (1023244)Peak memory usage: 12 MB
% 16.18/2.79 % (1023244)Instructions burned: 105 (million)
% 16.18/2.79 % (1023246)Instruction limit reached!
% 16.18/2.79 % (1023246)------------------------------
% 16.18/2.79 % (1023246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.79 % (1023246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.79 % (1023246)CaDiCaL version: 2.1.3
% 16.18/2.79 % (1023246)Termination reason: Instruction limit
% 16.18/2.79 % (1023246)Termination phase: Saturation
% 16.18/2.79 % (1023246)Time elapsed: 0.077 s
% 16.18/2.79 % (1023246)Peak memory usage: 12 MB
% 16.18/2.79 % (1023246)Instructions burned: 132 (million)
% 16.18/2.79 % (1023255)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3222743846:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 16.18/2.79 % TRYING [1]
% 16.18/2.79 % TRYING [2]
% 16.18/2.79 % TRYING [3]
% 16.18/2.79 % (1023247)Instruction limit reached!
% 16.18/2.79 % (1023247)------------------------------
% 16.18/2.79 % (1023247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.79 % (1023247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.79 % (1023247)CaDiCaL version: 2.1.3
% 16.18/2.79 % (1023247)Termination reason: Instruction limit
% 16.18/2.79 % (1023247)Termination phase: Saturation
% 16.18/2.79 % (1023247)Time elapsed: 0.094 s
% 16.18/2.79 % (1023247)Peak memory usage: 12 MB
% 16.18/2.79 % (1023247)Instructions burned: 160 (million)
% 16.18/2.79 % (1023259)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2967754236:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.18/2.79 % (1023245)Instruction limit reached!
% 16.18/2.79 % (1023245)------------------------------
% 16.18/2.79 % (1023245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.18/2.79 % (1023245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/2.79 % (1023245)CaDiCaL version: 2.1.3
% 16.18/2.79 % (1023245)Termination reason: Instruction limit
% 16.18/2.79 % (1023245)Termination phase: Saturation
% 16.18/2.79 % (1023245)Time elapsed: 0.088 s
% 16.18/2.79 % (1023245)Peak memory usage: 12 MB
% 16.18/2.79 % (1023245)Instructions burned: 117 (million)
% 16.18/2.79 % TRYING [4]
% 16.18/2.79 % (1023267)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1782717723:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.18/2.79 % (1023271)ott-21_1_sil=16000:fs=off:random_seed=3201720920:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.18/2.79 % TRYING [5]
% 16.18/2.79 % TRYING [6]
% 16.18/2.79 % (1023259)Instruction limit reached!
% 16.18/2.79 % (1023259)------------------------------
% 16.18/2.79 % (1023259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.54/6.78 % (1023259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.54/6.78 % (1023259)CaDiCaL version: 2.1.3
% 44.54/6.78 % (1023259)Termination reason: Instruction limit
% 44.54/6.78 % (1023259)Termination phase: Saturation
% 44.54/6.78 % (1023259)Time elapsed: 0.078 s
% 44.54/6.78 % (1023259)Peak memory usage: 12 MB
% 44.54/6.78 % (1023259)Instructions burned: 131 (million)
% 44.54/6.78 % (1023301)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2884594799:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 44.54/6.78 % (1023271)Instruction limit reached!
% 44.54/6.78 % (1023271)------------------------------
% 44.54/6.78 % (1023271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.54/6.78 % (1023271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.54/6.78 % (1023271)CaDiCaL version: 2.1.3
% 44.54/6.78 % (1023271)Termination reason: Instruction limit
% 44.54/6.78 % (1023271)Termination phase: Saturation
% 44.54/6.78 % (1023271)Time elapsed: 0.090 s
% 44.54/6.78 % (1023271)Peak memory usage: 12 MB
% 44.54/6.78 % (1023271)Instructions burned: 182 (million)
% 44.54/6.78 % (1023320)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2939508725:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 44.54/6.78 % TRYING [1]
% 44.54/6.78 % TRYING [2]
% 44.54/6.78 % TRYING [3]
% 44.54/6.78 % TRYING [4]
% 44.54/6.78 % TRYING [6]
% 44.54/6.78 % TRYING [5]
% 44.54/6.78 % (1023255)Instruction limit reached!
% 44.54/6.78 % (1023255)------------------------------
% 44.54/6.78 % (1023255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.54/6.78 % (1023255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.54/6.78 % (1023255)CaDiCaL version: 2.1.3
% 44.54/6.78 % (1023255)Termination reason: Instruction limit
% 44.54/6.78 % (1023255)Termination phase: Finite model building constraint generation
% 44.54/6.78 % (1023255)Time elapsed: 0.276 s
% 44.54/6.78 % (1023255)Peak memory usage: 28 MB
% 44.54/6.78 % (1023255)Instructions burned: 714 (million)
% 44.54/6.78 % (1023358)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2226297534:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 44.54/6.78 % TRYING [7]
% 44.54/6.78 % TRYING [6]
% 44.54/6.78 % (1023267)Instruction limit reached!
% 44.54/6.78 % (1023267)------------------------------
% 44.54/6.78 % (1023267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.54/6.78 % (1023267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.54/6.78 % (1023267)CaDiCaL version: 2.1.3
% 44.54/6.78 % (1023267)Termination reason: Instruction limit
% 44.54/6.78 % (1023267)Termination phase: Saturation
% 44.54/6.78 % (1023267)Time elapsed: 0.381 s
% 44.54/6.78 % (1023267)Peak memory usage: 15 MB
% 44.54/6.78 % (1023267)Instructions burned: 685 (million)
% 44.54/6.78 % (1023301)Instruction limit reached!
% 44.54/6.78 % (1023301)------------------------------
% 44.54/6.78 % (1023301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.54/6.78 % (1023301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.54/6.78 % (1023301)CaDiCaL version: 2.1.3
% 44.54/6.78 % (1023301)Termination reason: Instruction limit
% 44.54/6.78 % (1023301)Termination phase: Saturation
% 44.54/6.78 % (1023301)Time elapsed: 0.313 s
% 44.54/6.78 % (1023301)Peak memory usage: 12 MB
% 44.54/6.78 % (1023301)Instructions burned: 478 (million)
% 44.54/6.78 % (1023370)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=628535329:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 44.54/6.78 % (1023371)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=921588732:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 44.54/6.78 % (1023320)Instruction limit reached!
% 44.54/6.78 % (1023320)------------------------------
% 44.54/6.78 % (1023320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.54/6.78 % (1023320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.54/6.78 % (1023320)CaDiCaL version: 2.1.3
% 44.54/6.78 % (1023320)Termination reason: Instruction limit
% 44.54/6.78 % (1023320)Termination phase: Finite model building constraint generation
% 44.54/6.78 % (1023320)Time elapsed: 0.319 s
% 44.54/6.78 % (1023320)Peak memory usage: 28 MB
% 44.54/6.78 % (1023320)Instructions burned: 866 (million)
% 44.54/6.78 % (1023374)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2729958564:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 55.66/8.39 % TRYING [14]
% 55.66/8.39 % (1023370)Instruction limit reached!
% 55.66/8.39 % (1023370)------------------------------
% 55.66/8.39 % (1023370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023370)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023370)Termination reason: Instruction limit
% 55.66/8.39 % (1023370)Termination phase: Finite model building constraint generation
% 55.66/8.39 % (1023370)Time elapsed: 0.380 s
% 55.66/8.39 % (1023370)Peak memory usage: 94 MB
% 55.66/8.39 % (1023370)Instructions burned: 891 (million)
% 55.66/8.39 % (1023420)fmb+10_1_sil=64000:random_seed=3364507993:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 55.66/8.39 % TRYING [1]
% 55.66/8.39 % TRYING [2]
% 55.66/8.39 % TRYING [3]
% 55.66/8.39 % TRYING [4]
% 55.66/8.39 % (1023371)Instruction limit reached!
% 55.66/8.39 % (1023371)------------------------------
% 55.66/8.39 % (1023371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023371)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023371)Termination reason: Instruction limit
% 55.66/8.39 % (1023371)Termination phase: Saturation
% 55.66/8.39 % (1023371)Time elapsed: 0.424 s
% 55.66/8.39 % (1023371)Peak memory usage: 16 MB
% 55.66/8.39 % (1023371)Instructions burned: 692 (million)
% 55.66/8.39 % (1023442)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1388071702:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 55.66/8.39 % TRYING [20]
% 55.66/8.39 % TRYING [5]
% 55.66/8.39 % TRYING [8]
% 55.66/8.39 % (1023374)Instruction limit reached!
% 55.66/8.39 % (1023374)------------------------------
% 55.66/8.39 % (1023374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023374)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023374)Termination reason: Instruction limit
% 55.66/8.39 % (1023374)Termination phase: Saturation
% 55.66/8.39 % (1023374)Time elapsed: 0.472 s
% 55.66/8.39 % (1023374)Peak memory usage: 14 MB
% 55.66/8.39 % (1023374)Instructions burned: 881 (million)
% 55.66/8.39 % (1023481)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1995481696:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 55.66/8.39 % TRYING [8]
% 55.66/8.39 % (1023358)Instruction limit reached!
% 55.66/8.39 % (1023358)------------------------------
% 55.66/8.39 % (1023358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023358)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023358)Termination reason: Instruction limit
% 55.66/8.39 % (1023358)Termination phase: Saturation
% 55.66/8.39 % (1023358)Time elapsed: 0.708 s
% 55.66/8.39 % (1023358)Peak memory usage: 15 MB
% 55.66/8.39 % (1023358)Instructions burned: 1180 (million)
% 55.66/8.39 % (1023500)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1404696613:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 55.66/8.39 % TRYING [6]
% 55.66/8.39 % (1023481)Instruction limit reached!
% 55.66/8.39 % (1023481)------------------------------
% 55.66/8.39 % (1023481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023481)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023481)Termination reason: Instruction limit
% 55.66/8.39 % (1023481)Termination phase: Finite model building constraint generation
% 55.66/8.39 % (1023481)Time elapsed: 0.343 s
% 55.66/8.39 % (1023481)Peak memory usage: 77 MB
% 55.66/8.39 % (1023481)Instructions burned: 921 (million)
% 55.66/8.39 % (1023558)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2705253730:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 55.66/8.39 % TRYING [7]
% 55.66/8.39 % TRYING [9]
% 55.66/8.39 % (1023558)Instruction limit reached!
% 55.66/8.39 % (1023558)------------------------------
% 55.66/8.39 % (1023558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023558)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023558)Termination reason: Instruction limit
% 55.66/8.39 % (1023558)Termination phase: Saturation
% 55.66/8.39 % (1023558)Time elapsed: 0.894 s
% 55.66/8.39 % (1023558)Peak memory usage: 31 MB
% 55.66/8.39 % (1023558)Instructions burned: 1473 (million)
% 55.66/8.39 % (1023560)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2983607556:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 55.66/8.39 % TRYING [77]
% 55.66/8.39 % TRYING [8]
% 55.66/8.39 % (1023500)Instruction limit reached!
% 55.66/8.39 % (1023500)------------------------------
% 55.66/8.39 % (1023500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023500)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023500)Termination reason: Instruction limit
% 55.66/8.39 % (1023500)Termination phase: Saturation
% 55.66/8.39 % (1023500)Time elapsed: 2.308 s
% 55.66/8.39 % (1023500)Peak memory usage: 17 MB
% 55.66/8.39 % (1023500)Instructions burned: 5132 (million)
% 55.66/8.39 % (1023562)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1998622794:fmbsr=2.30978:i=2174_2965 on theBenchmark for (2965ds/2174Mi)
% 55.66/8.39 % TRYING [16]
% 55.66/8.39 % (1023562)Instruction limit reached!
% 55.66/8.39 % (1023562)------------------------------
% 55.66/8.39 % (1023562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023562)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023562)Termination reason: Instruction limit
% 55.66/8.39 % (1023562)Termination phase: Finite model building constraint generation
% 55.66/8.39 % (1023562)Time elapsed: 0.726 s
% 55.66/8.39 % (1023562)Peak memory usage: 133 MB
% 55.66/8.39 % (1023562)Instructions burned: 2176 (million)
% 55.66/8.39 % (1023564)ott-2_1_sil=16000:newcnf=on:random_seed=3251365564:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 55.66/8.39 % (1023442)Instruction limit reached!
% 55.66/8.39 % (1023442)------------------------------
% 55.66/8.39 % (1023442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023442)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023442)Termination reason: Instruction limit
% 55.66/8.39 % (1023442)Termination phase: Finite model building constraint generation
% 55.66/8.39 % (1023442)Time elapsed: 3.429 s
% 55.66/8.39 % (1023442)Peak memory usage: 665 MB
% 55.66/8.39 % (1023442)Instructions burned: 9515 (million)
% 55.66/8.39 % (1023566)ott+10_1_sil=32000:tgt=ground:random_seed=3291925779:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 55.66/8.39 % (1023560)Instruction limit reached!
% 55.66/8.39 % (1023560)------------------------------
% 55.66/8.39 % (1023560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023560)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023560)Termination reason: Instruction limit
% 55.66/8.39 % (1023560)Termination phase: Finite model building constraint generation
% 55.66/8.39 % (1023560)Time elapsed: 2.222 s
% 55.66/8.39 % (1023560)Peak memory usage: 449 MB
% 55.66/8.39 % (1023560)Instructions burned: 6325 (million)
% 55.66/8.39 % (1023568)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2220458129:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 55.66/8.39 % TRYING [1]
% 55.66/8.39 % TRYING [2]
% 55.66/8.39 % TRYING [3]
% 55.66/8.39 % TRYING [4]
% 55.66/8.39 % (1023564)Instruction limit reached!
% 55.66/8.39 % (1023564)------------------------------
% 55.66/8.39 % (1023564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023564)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023564)Termination reason: Instruction limit
% 55.66/8.39 % (1023564)Termination phase: Saturation
% 55.66/8.39 % (1023564)Time elapsed: 0.477 s
% 55.66/8.39 % (1023564)Peak memory usage: 14 MB
% 55.66/8.39 % (1023564)Instructions burned: 870 (million)
% 55.66/8.39 % (1023570)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2466923983:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 55.66/8.39 % TRYING [5]
% 55.66/8.39 % TRYING [6]
% 55.66/8.39 % TRYING [10]
% 55.66/8.39 % TRYING [7]
% 55.66/8.39 % TRYING [9]
% 55.66/8.39 % TRYING [8]
% 55.66/8.39 % (1023570)Instruction limit reached!
% 55.66/8.39 % (1023570)------------------------------
% 55.66/8.39 % (1023570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023570)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023570)Termination reason: Instruction limit
% 55.66/8.39 % (1023570)Termination phase: Saturation
% 55.66/8.39 % (1023570)Time elapsed: 1.638 s
% 55.66/8.39 % (1023570)Peak memory usage: 16 MB
% 55.66/8.39 % (1023570)Instructions burned: 3514 (million)
% 55.66/8.39 % (1023572)dis+21_1_sil=32000:sas=cadical:random_seed=1235010597:i=3773:amm=off_2936 on theBenchmark for (2936ds/3773Mi)
% 55.66/8.39 % TRYING [9]
% 55.66/8.39 % (1023566)Instruction limit reached!
% 55.66/8.39 % (1023566)------------------------------
% 55.66/8.39 % (1023566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.39 % (1023566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.39 % (1023566)CaDiCaL version: 2.1.3
% 55.66/8.39 % (1023566)Termination reason: Instruction limit
% 55.66/8.39 % (1023566)Termination phase: Saturation
% 55.66/8.39 % (1023566)Time elapsed: 3.106 s
% 55.66/8.39 % (1023566)Peak memory usage: 23 MB
% 55.66/8.39 % (1023566)Instructions burned: 5114 (million)
% 55.66/8.39 % (1023574)ott+11_1_sil=16000:gs=on:random_seed=220082908:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2923 on theBenchmark for (2923ds/2251Mi)
% 55.66/8.39 % (1023574) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1023236-1023574"...
% 55.66/8.39 % (1023574)...printing done.
% 55.66/8.39 % (1023574)Refutation found. Thanks to Tanya!
% 55.66/8.39 % SZS status Unsatisfiable for theBenchmark
% 55.66/8.39 % SZS output start Proof for theBenchmark
% See solution above
% 55.66/8.40 % (1023574)------------------------------
% 55.66/8.40 % (1023574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.66/8.40 % (1023574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.66/8.40 % (1023574)CaDiCaL version: 2.1.3
% 55.66/8.40 % (1023574)Termination reason: Refutation
% 55.66/8.40 % (1023574)Time elapsed: 0.237 s
% 55.66/8.40 % (1023574)Peak memory usage: 14 MB
% 55.66/8.40 % (1023574)Instructions burned: 394 (million)
% 55.66/8.40 % (1023236)Success in time 7.994 s
% 55.66/8.40 % Vampire exiting
%------------------------------------------------------------------------------