%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO004-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 09:36:05 AM UTC 2026
% Result : Unsatisfiable 9.39s 1.74s
% Output : Refutation 9.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 73 ( 73 unt; 0 def)
% Number of atoms : 73 ( 72 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 193 ( 193 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f4,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f5,plain,
! [X0,X1] : true = product(X0,X1,multiply(X0,X1)),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X0,X1] : ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f7,plain,
! [X2,X0,X1] : true = ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X2,X0,X1] : ifeq(product(X0,X1,X2),true,product(X1,X0,X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiplication) ).
fof(f9,plain,
! [X2,X0,X1] : true = ifeq(product(X0,X1,X2),true,product(X1,X0,X2),true),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0] : sum(additive_identity,X0,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f11,plain,
! [X0] : true = sum(additive_identity,X0,X0),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0] : sum(X0,additive_identity,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f13,plain,
! [X0] : true = sum(X0,additive_identity,X0),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0] : product(multiplicative_identity,X0,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f15,plain,
! [X0] : true = product(multiplicative_identity,X0,X0),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X0] : product(X0,multiplicative_identity,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f17,plain,
! [X0] : true = product(X0,multiplicative_identity,X0),
inference(reorient_equations,[],[f16]) ).
fof(f18,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(product(X0,X5,X6),true,ifeq(sum(X5,X3,X1),true,sum(X6,X4,X2),true),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f19,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(product(X0,X5,X6),true,ifeq(sum(X5,X3,X1),true,sum(X6,X4,X2),true),true),true),true),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(sum(X4,X2,X5),true,ifeq(sum(X3,X1,X6),true,product(X0,X6,X5),true),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f21,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(sum(X4,X2,X5),true,ifeq(sum(X3,X1,X6),true,product(X0,X6,X5),true),true),true),true),
inference(reorient_equations,[],[f20]) ).
fof(f26,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,ifeq(sum(X3,X0,X6),true,product(X6,X5,X4),true),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity5) ).
fof(f27,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,ifeq(sum(X3,X0,X6),true,product(X6,X5,X4),true),true),true),true),
inference(reorient_equations,[],[f26]) ).
fof(f40,axiom,
! [X0] : product(X0,inverse(X0),additive_identity) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f41,plain,
! [X0] : true = product(X0,inverse(X0),additive_identity),
inference(reorient_equations,[],[f40]) ).
fof(f42,axiom,
! [X2,X3,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(sum(X0,X1,X3),true,X3,X2),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f43,axiom,
! [X2,X3,X0,X1] : ifeq2(product(X0,X1,X2),true,ifeq2(product(X0,X1,X3),true,X3,X2),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f44,negated_conjecture,
sum(x,x,x) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_both_equalities) ).
fof(f45,plain,
true != sum(x,x,x),
inference(reorient_equations,[],[f44]) ).
fof(f50,plain,
! [X0,X1] : true = ifeq(true,true,sum(X1,X0,add(X0,X1)),true),
inference(superposition,[],[f7,f3]) ).
fof(f65,plain,
! [X0,X1] : true = sum(X0,X1,add(X1,X0)),
inference(superposition,[],[f50,f2]) ).
fof(f76,plain,
! [X0,X1] : true = ifeq(true,true,product(X1,X0,multiply(X0,X1)),true),
inference(superposition,[],[f9,f5]) ).
fof(f100,plain,
! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(true,true,add(X0,X1),X2),X2) = X2,
inference(superposition,[],[f42,f3]) ).
fof(f103,plain,
! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,add(X0,X1),X2) = X2,
inference(forward_demodulation,[],[f100,f1]) ).
fof(f108,plain,
! [X0,X1] : ifeq2(true,true,ifeq2(product(multiplicative_identity,X0,X1),true,X1,X0),X0) = X0,
inference(superposition,[],[f43,f15]) ).
fof(f116,plain,
! [X0,X1] : ifeq2(product(X0,inverse(X0),X1),true,ifeq2(true,true,additive_identity,X1),X1) = X1,
inference(superposition,[],[f43,f41]) ).
fof(f119,plain,
! [X0,X1] : ifeq2(product(X0,inverse(X0),X1),true,additive_identity,X1) = X1,
inference(forward_demodulation,[],[f116,f1]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(true,true,ifeq(sum(multiplicative_identity,X3,X1),true,sum(X0,X4,X2),true),true),true),true),
inference(superposition,[],[f19,f17]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(sum(multiplicative_identity,X3,X1),true,sum(X0,X4,X2),true),true),true),
inference(forward_demodulation,[],[f146,f2]) ).
fof(f200,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,additive_identity,X1),true,ifeq(product(X0,X2,X3),true,ifeq(sum(X3,X1,X4),true,ifeq(true,true,product(X0,X2,X4),true),true),true),true),
inference(superposition,[],[f21,f13]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,additive_identity,X1),true,ifeq(product(X0,X2,X3),true,ifeq(sum(X3,X1,X4),true,product(X0,X2,X4),true),true),true),
inference(forward_demodulation,[],[f200,f2]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(additive_identity,X0,X1),true,ifeq(sum(X2,X1,X3),true,ifeq(sum(X2,X0,X4),true,ifeq(true,true,product(X2,X4,X3),true),true),true),true),
inference(superposition,[],[f27,f13]) ).
fof(f349,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(additive_identity,X0,X1),true,ifeq(sum(X2,X1,X3),true,ifeq(sum(X2,X0,X4),true,product(X2,X4,X3),true),true),true),
inference(forward_demodulation,[],[f335,f2]) ).
fof(f568,plain,
! [X0,X1] : true = product(X0,X1,multiply(X1,X0)),
inference(superposition,[],[f76,f2]) ).
fof(f576,plain,
! [X0,X1] : add(X1,X0) = ifeq2(true,true,add(X0,X1),add(X1,X0)),
inference(superposition,[],[f103,f65]) ).
fof(f634,plain,
! [X0,X1] : ifeq2(product(multiplicative_identity,X0,X1),true,X1,X0) = X0,
inference(superposition,[],[f108,f1]) ).
fof(f1061,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X0,add(multiplicative_identity,X1),X2),true,ifeq(product(X0,X1,X3),true,ifeq(true,true,sum(X0,X3,X2),true),true),true),
inference(superposition,[],[f172,f3]) ).
fof(f1075,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X0,add(multiplicative_identity,X1),X2),true,ifeq(product(X0,X1,X3),true,sum(X0,X3,X2),true),true),
inference(forward_demodulation,[],[f1061,f2]) ).
fof(f1227,plain,
! [X2,X0,X1] : true = ifeq(product(X0,additive_identity,X1),true,ifeq(product(X0,X2,additive_identity),true,ifeq(true,true,product(X0,X2,X1),true),true),true),
inference(superposition,[],[f214,f11]) ).
fof(f1244,plain,
! [X2,X0,X1] : true = ifeq(product(X0,additive_identity,X1),true,ifeq(product(X0,X2,additive_identity),true,product(X0,X2,X1),true),true),
inference(forward_demodulation,[],[f1227,f2]) ).
fof(f1935,plain,
! [X2,X3,X0,X1] : true = ifeq(product(additive_identity,X0,X1),true,ifeq(sum(X2,X1,X3),true,ifeq(true,true,product(X2,add(X2,X0),X3),true),true),true),
inference(superposition,[],[f349,f3]) ).
fof(f1946,plain,
! [X2,X3,X0,X1] : true = ifeq(product(additive_identity,X0,X1),true,ifeq(sum(X2,X1,X3),true,product(X2,add(X2,X0),X3),true),true),
inference(forward_demodulation,[],[f1935,f2]) ).
fof(f5406,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(superposition,[],[f576,f1]) ).
fof(f10341,plain,
! [X0,X1] : true = ifeq(product(X0,additive_identity,X1),true,ifeq(true,true,product(X0,inverse(X0),X1),true),true),
inference(superposition,[],[f1244,f41]) ).
fof(f10359,plain,
! [X0,X1] : true = ifeq(product(X0,additive_identity,X1),true,product(X0,inverse(X0),X1),true),
inference(forward_demodulation,[],[f10341,f2]) ).
fof(f17988,plain,
! [X0] : true = ifeq(true,true,product(X0,inverse(X0),multiply(X0,additive_identity)),true),
inference(superposition,[],[f10359,f5]) ).
fof(f18203,plain,
! [X0] : true = product(X0,inverse(X0),multiply(X0,additive_identity)),
inference(superposition,[],[f17988,f2]) ).
fof(f18316,plain,
! [X0] : multiply(X0,additive_identity) = ifeq2(true,true,additive_identity,multiply(X0,additive_identity)),
inference(superposition,[],[f119,f18203]) ).
fof(f19067,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(forward_demodulation,[],[f18316,f1]) ).
fof(f19474,plain,
! [X0] : true = product(additive_identity,X0,additive_identity),
inference(superposition,[],[f568,f19067]) ).
fof(f25865,plain,
! [X0,X1] : true = ifeq(product(additive_identity,X0,additive_identity),true,ifeq(true,true,product(X1,add(X1,X0),X1),true),true),
inference(superposition,[],[f1946,f13]) ).
fof(f25890,plain,
! [X0,X1] : true = ifeq(product(additive_identity,X0,additive_identity),true,product(X1,add(X1,X0),X1),true),
inference(forward_demodulation,[],[f25865,f2]) ).
fof(f25900,plain,
! [X0,X1] : true = ifeq(true,true,product(X1,add(X1,X0),X1),true),
inference(forward_demodulation,[],[f25890,f19474]) ).
fof(f26011,plain,
! [X0,X1] : true = product(X0,add(X0,X1),X0),
inference(superposition,[],[f25900,f2]) ).
fof(f26018,plain,
! [X0,X1] : true = product(X1,add(X0,X1),X1),
inference(superposition,[],[f26011,f5406]) ).
fof(f26105,plain,
! [X0] : add(multiplicative_identity,X0) = ifeq2(true,true,multiplicative_identity,add(multiplicative_identity,X0)),
inference(superposition,[],[f634,f26011]) ).
fof(f26914,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[],[f26105,f1]) ).
fof(f32260,plain,
! [X2,X0,X1] : true = ifeq(product(X0,add(multiplicative_identity,add(X1,X0)),X2),true,ifeq(true,true,sum(X0,X0,X2),true),true),
inference(superposition,[],[f1075,f26018]) ).
fof(f32673,plain,
! [X2,X0,X1] : true = ifeq(product(X0,add(multiplicative_identity,add(X1,X0)),X2),true,sum(X0,X0,X2),true),
inference(forward_demodulation,[],[f32260,f2]) ).
fof(f32956,plain,
! [X2,X0] : true = ifeq(product(X0,multiplicative_identity,X2),true,sum(X0,X0,X2),true),
inference(forward_demodulation,[],[f32673,f26914]) ).
fof(f37560,plain,
! [X0] : true = ifeq(true,true,sum(X0,X0,X0),true),
inference(superposition,[],[f32956,f17]) ).
fof(f37628,plain,
! [X0] : true = sum(X0,X0,X0),
inference(superposition,[],[f37560,f2]) ).
fof(f37630,plain,
$false,
inference(backward_subsumption_resolution,[],[f45,f37628]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO004-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.19 % Computer : n016.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 21:08:04 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.24 Running first-order model finding
% 0.06/0.24 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
% 9.39/1.74 % (4008451)Will run a generic schedule for satisfiability detection.
% 9.39/1.74 % (4008459)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3431343362_2999 on theBenchmark for (2999ds/0Mi)
% 9.39/1.74 % (4008460)% WARNING: option uhcvi not known.
% 9.39/1.74 % TRYING [1]
% 9.39/1.74 % TRYING [2]
% 9.39/1.74 % (4008463)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1242783003:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 9.39/1.74 % (4008462)dis+10_1_sil=32000:sp=arity:random_seed=3690866297:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 9.39/1.74 % (4008464)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2236279435:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 9.39/1.74 % (4008460)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1577496942:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 9.39/1.74 % (4008465)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1145684547:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 9.39/1.74 % (4008461)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3448525377:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 9.39/1.74 % TRYING [3]
% 9.39/1.74 % (4008462)Instruction limit reached!
% 9.39/1.74 % (4008462)------------------------------
% 9.39/1.74 % (4008462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008462)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008462)Termination reason: Instruction limit
% 9.39/1.74 % (4008462)Termination phase: Saturation
% 9.39/1.74 % (4008462)Time elapsed: 0.097 s
% 9.39/1.74 % (4008462)Peak memory usage: 12 MB
% 9.39/1.74 % (4008462)Instructions burned: 103 (million)
% 9.39/1.74 % (4008463)Instruction limit reached!
% 9.39/1.74 % (4008463)------------------------------
% 9.39/1.74 % (4008463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008463)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008463)Termination reason: Instruction limit
% 9.39/1.74 % (4008463)Termination phase: Saturation
% 9.39/1.74 % (4008463)Time elapsed: 0.112 s
% 9.39/1.74 % (4008463)Peak memory usage: 13 MB
% 9.39/1.74 % (4008463)Instructions burned: 117 (million)
% 9.39/1.74 % (4008476)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3599541872:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 9.39/1.74 % (4008464)Instruction limit reached!
% 9.39/1.74 % (4008464)------------------------------
% 9.39/1.74 % (4008464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008464)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008464)Termination reason: Instruction limit
% 9.39/1.74 % (4008464)Termination phase: Saturation
% 9.39/1.74 % (4008464)Time elapsed: 0.128 s
% 9.39/1.74 % (4008464)Peak memory usage: 13 MB
% 9.39/1.74 % (4008464)Instructions burned: 132 (million)
% 9.39/1.74 % TRYING [1]
% 9.39/1.74 % TRYING [2]
% 9.39/1.74 % (4008477)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3044458063:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 9.39/1.74 % (4008465)Instruction limit reached!
% 9.39/1.74 % (4008465)------------------------------
% 9.39/1.74 % (4008465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008465)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008465)Termination reason: Instruction limit
% 9.39/1.74 % (4008465)Termination phase: Saturation
% 9.39/1.74 % (4008465)Time elapsed: 0.165 s
% 9.39/1.74 % (4008465)Peak memory usage: 12 MB
% 9.39/1.74 % (4008465)Instructions burned: 159 (million)
% 9.39/1.74 % (4008481)ott-21_1_sil=16000:fs=off:random_seed=1730185710:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 9.39/1.74 % (4008479)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=4009104726:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 9.39/1.74 % TRYING [3]
% 9.39/1.74 % (4008477)Instruction limit reached!
% 9.39/1.74 % (4008477)------------------------------
% 9.39/1.74 % (4008477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008477)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008477)Termination reason: Instruction limit
% 9.39/1.74 % (4008477)Termination phase: Saturation
% 9.39/1.74 % (4008477)Time elapsed: 0.133 s
% 9.39/1.74 % (4008477)Peak memory usage: 13 MB
% 9.39/1.74 % (4008477)Instructions burned: 134 (million)
% 9.39/1.74 % TRYING [4]
% 9.39/1.74 % (4008484)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3503394736:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 9.39/1.74 % (4008481)Instruction limit reached!
% 9.39/1.74 % (4008481)------------------------------
% 9.39/1.74 % (4008481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008481)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008481)Termination reason: Instruction limit
% 9.39/1.74 % (4008481)Termination phase: Saturation
% 9.39/1.74 % (4008481)Time elapsed: 0.161 s
% 9.39/1.74 % (4008481)Peak memory usage: 13 MB
% 9.39/1.74 % (4008481)Instructions burned: 180 (million)
% 9.39/1.74 % (4008487)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3707115325:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 9.39/1.74 % TRYING [1]
% 9.39/1.74 % TRYING [2]
% 9.39/1.74 % TRYING [3]
% 9.39/1.74 % (4008476)Instruction limit reached!
% 9.39/1.74 % (4008476)------------------------------
% 9.39/1.74 % (4008476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008476)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008476)Termination reason: Instruction limit
% 9.39/1.74 % (4008476)Termination phase: Finite model building constraint generation
% 9.39/1.74 % (4008476)Time elapsed: 0.413 s
% 9.39/1.74 % (4008476)Peak memory usage: 45 MB
% 9.39/1.74 % (4008476)Instructions burned: 716 (million)
% 9.39/1.74 % (4008489)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2274954840:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 9.39/1.74 % (4008484)Instruction limit reached!
% 9.39/1.74 % (4008484)------------------------------
% 9.39/1.74 % (4008484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008484)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008484)Termination reason: Instruction limit
% 9.39/1.74 % (4008484)Termination phase: Saturation
% 9.39/1.74 % (4008484)Time elapsed: 0.300 s
% 9.39/1.74 % (4008484)Peak memory usage: 16 MB
% 9.39/1.74 % (4008484)Instructions burned: 478 (million)
% 9.39/1.74 % (4008491)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1938493338:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 9.39/1.74 % (4008479)Instruction limit reached!
% 9.39/1.74 % (4008479)------------------------------
% 9.39/1.74 % (4008479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008479)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008479)Termination reason: Instruction limit
% 9.39/1.74 % (4008479)Termination phase: Saturation
% 9.39/1.74 % (4008479)Time elapsed: 0.475 s
% 9.39/1.74 % (4008479)Peak memory usage: 17 MB
% 9.39/1.74 % (4008479)Instructions burned: 685 (million)
% 9.39/1.74 % (4008494)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=362409864:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 9.39/1.74 % (4008487)Instruction limit reached!
% 9.39/1.74 % (4008487)------------------------------
% 9.39/1.74 % (4008487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008487)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008487)Termination reason: Instruction limit
% 9.39/1.74 % (4008487)Termination phase: Finite model building SAT solving
% 9.39/1.74 % (4008487)Time elapsed: 0.355 s
% 9.39/1.74 % (4008487)Peak memory usage: 44 MB
% 9.39/1.74 % (4008487)Instructions burned: 866 (million)
% 9.39/1.74 % (4008496)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1993113812:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 9.39/1.74 % (4008491)Instruction limit reached!
% 9.39/1.74 % (4008491)------------------------------
% 9.39/1.74 % (4008491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008491)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008491)Termination reason: Instruction limit
% 9.39/1.74 % (4008491)Termination phase: Finite model building constraint generation
% 9.39/1.74 % (4008491)Time elapsed: 0.404 s
% 9.39/1.74 % (4008491)Peak memory usage: 106 MB
% 9.39/1.74 % (4008491)Instructions burned: 889 (million)
% 9.39/1.74 % (4008574)fmb+10_1_sil=64000:random_seed=1320758542:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 9.39/1.74 % TRYING [1]
% 9.39/1.74 % TRYING [2]
% 9.39/1.74 % (4008494)Instruction limit reached!
% 9.39/1.74 % (4008494)------------------------------
% 9.39/1.74 % (4008494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008494)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008494)Termination reason: Instruction limit
% 9.39/1.74 % (4008494)Termination phase: Saturation
% 9.39/1.74 % (4008494)Time elapsed: 0.408 s
% 9.39/1.74 % (4008494)Peak memory usage: 17 MB
% 9.39/1.74 % (4008494)Instructions burned: 693 (million)
% 9.39/1.74 % (4008590)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3101267442:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 9.39/1.74 % (4008590)Cannot represent all propositional literals internally
% 9.39/1.74 % (4008590)Refutation not found, incomplete strategy
% 9.39/1.74 % (4008590)------------------------------
% 9.39/1.74 % (4008590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008590)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008590)Termination reason: Refutation not found, incomplete strategy
% 9.39/1.74 % (4008590)Time elapsed: 0.010 s
% 9.39/1.74 % (4008590)Peak memory usage: 10 MB
% 9.39/1.74 % (4008590)Instructions burned: 18 (million)
% 9.39/1.74 % (4008590)------------------------------
% 9.39/1.74 % (4008590)------------------------------
% 9.39/1.74 % (4008596)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2618794954:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 9.39/1.74 % TRYING [8]
% 9.39/1.74 % TRYING [3]
% 9.39/1.74 % (4008489)Instruction limit reached!
% 9.39/1.74 % (4008489)------------------------------
% 9.39/1.74 % (4008489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008489)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008489)Termination reason: Instruction limit
% 9.39/1.74 % (4008489)Termination phase: Saturation
% 9.39/1.74 % (4008489)Time elapsed: 0.665 s
% 9.39/1.74 % (4008489)Peak memory usage: 28 MB
% 9.39/1.74 % (4008489)Instructions burned: 1180 (million)
% 9.39/1.74 % (4008609)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=284936811:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 9.39/1.74 % (4008496)Instruction limit reached!
% 9.39/1.74 % (4008496)------------------------------
% 9.39/1.74 % (4008496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008496)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008496)Termination reason: Instruction limit
% 9.39/1.74 % (4008496)Termination phase: Saturation
% 9.39/1.74 % (4008496)Time elapsed: 0.498 s
% 9.39/1.74 % (4008496)Peak memory usage: 20 MB
% 9.39/1.74 % (4008496)Instructions burned: 880 (million)
% 9.39/1.74 % (4008611)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3030053530:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 9.39/1.74 % (4008460) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4008451-4008460"...
% 9.39/1.74 % (4008460)...printing done.
% 9.39/1.74 % (4008460)Refutation found. Thanks to Tanya!
% 9.39/1.74 % SZS status Unsatisfiable for theBenchmark
% 9.39/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 9.39/1.74 % (4008460)------------------------------
% 9.39/1.74 % (4008460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.39/1.74 % (4008460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/1.74 % (4008460)CaDiCaL version: 2.1.3
% 9.39/1.74 % (4008460)Termination reason: Refutation
% 9.39/1.74 % (4008460)Time elapsed: 1.412 s
% 9.39/1.74 % (4008460)Peak memory usage: 31 MB
% 9.39/1.74 % (4008460)Instructions burned: 2198 (million)
% 9.39/1.74 % (4008451)Success in time 1.488 s
% 9.39/1.74 % Vampire exiting
%------------------------------------------------------------------------------