%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 60 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 32 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',closure_of_addition) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',left_inverse) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).
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/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity3) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).
fof(f18,axiom,
product(a,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f19,axiom,
product(additive_inverse(a),b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_times_b) ).
fof(f20,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_is_additive_id) ).
fof(f25,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f9,f4]) ).
fof(f29,plain,
! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| additive_identity = X1 ),
inference(resolution,[],[f16,f5]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ sum(X3,X0,additive_identity)
| ~ sum(X0,X1,X2)
| sum(X3,X2,X1) ),
inference(resolution,[],[f7,f1]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,b,X3)
| ~ sum(X2,X0,a)
| ~ product(X0,b,X1)
| sum(X3,X1,d) ),
inference(resolution,[],[f14,f18]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,additive_inverse(a),X2)
| ~ product(X0,b,X1)
| ~ sum(X1,c,X3)
| product(X2,b,X3) ),
inference(resolution,[],[f15,f19]) ).
fof(f118,plain,
! [X2,X0,X1] :
( sum(additive_inverse(X0),X2,X1)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f43,f5]) ).
fof(f229,plain,
! [X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = X1 ),
inference(resolution,[],[f118,f29]) ).
fof(f375,plain,
! [X0,X1] :
( ~ product(X0,b,X1)
| ~ sum(a,X0,a)
| sum(d,X1,d) ),
inference(resolution,[],[f81,f18]) ).
fof(f435,plain,
! [X0,X1] :
( ~ product(a,b,X0)
| ~ sum(X0,c,X1)
| product(additive_identity,b,X1) ),
inference(resolution,[],[f86,f6]) ).
fof(f1771,plain,
! [X0] :
( ~ sum(d,c,X0)
| product(additive_identity,b,X0) ),
inference(resolution,[],[f435,f18]) ).
fof(f1776,plain,
product(additive_identity,b,add(d,c)),
inference(resolution,[],[f1771,f4]) ).
fof(f1783,plain,
( ~ sum(a,additive_identity,a)
| sum(d,add(d,c),d) ),
inference(resolution,[],[f1776,f375]) ).
fof(f1797,plain,
sum(d,add(d,c),d),
inference(forward_subsumption_resolution,[],[f1783,f2]) ).
fof(f1926,plain,
additive_identity = add(d,c),
inference(resolution,[],[f1797,f229]) ).
fof(f2004,plain,
sum(c,d,additive_identity),
inference(superposition,[],[f25,f1926]) ).
fof(f2025,plain,
$false,
inference(forward_subsumption_resolution,[],[f2004,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.38 % Computer : n004.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun Sep 27 22:58:07 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42 Running first-order model finding
% 0.14/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52 % (3982559)Will run a generic schedule for satisfiability detection.
% 0.18/0.52 % (3982575)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4273046106:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.52 % (3982572)% WARNING: option uhcvi not known.
% 0.18/0.52 % (3982571)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3369795018_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.52 % (3982572)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1646335718:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.52 % (3982573)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1910121845:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.52 % (3982574)dis+10_1_sil=32000:sp=arity:random_seed=2232982357:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.52 % TRYING [1]
% 0.18/0.52 % TRYING [2]
% 0.18/0.52 % TRYING [3]
% 0.18/0.52 % (3982576)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1472293294:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.52 % (3982577)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2428815944:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.52 % TRYING [4]
% 0.18/0.52 % (3982575)Instruction limit reached!
% 0.18/0.52 % (3982575)------------------------------
% 0.18/0.52 % (3982575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.52 % (3982575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.52 % (3982575)CaDiCaL version: 2.1.3
% 0.18/0.52 % (3982575)Termination reason: Instruction limit
% 0.18/0.52 % (3982575)Termination phase: Saturation
% 0.18/0.52 % (3982575)Time elapsed: 0.037 s
% 0.18/0.52 % (3982575)Peak memory usage: 12 MB
% 0.18/0.52 % (3982575)Instructions burned: 118 (million)
% 0.18/0.52 % (3982597)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3665333513:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.52 % TRYING [1]
% 0.18/0.52 % TRYING [2]
% 0.18/0.52 % TRYING [3]
% 0.18/0.52 % (3982574) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3982559-3982574"...
% 0.18/0.52 % TRYING [4]
% 0.18/0.52 % (3982574)...printing done.
% 0.18/0.52 % (3982574)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (3982574)------------------------------
% 0.18/0.52 % (3982574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.52 % (3982574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.52 % (3982574)CaDiCaL version: 2.1.3
% 0.18/0.52 % (3982574)Termination reason: Refutation
% 0.18/0.52 % (3982574)Time elapsed: 0.047 s
% 0.18/0.52 % (3982574)Peak memory usage: 12 MB
% 0.18/0.52 % (3982574)Instructions burned: 71 (million)
% 0.18/0.52 % (3982559)Success in time 0.091 s
% 0.18/0.52 % Vampire exiting
%------------------------------------------------------------------------------