%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG006-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:35:04 PM UTC 2026
% Result : Unsatisfiable 18.55s 4.06s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 74 ( 74 unt; 0 def)
% Number of atoms : 74 ( 73 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-4 aty)
% Number of variables : 139 ( 139 !; 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] : sum(additive_identity,X0,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f4,axiom,
! [X0] : sum(X0,additive_identity,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f5,plain,
! [X0] : true = sum(X0,additive_identity,X0),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f7,plain,
! [X0,X1] : true = product(X0,X1,multiply(X0,X1)),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f9,plain,
! [X0,X1] : true = sum(X0,X1,add(X0,X1)),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f11,plain,
! [X0] : true = sum(additive_inverse(X0),X0,additive_identity),
inference(reorient_equations,[],[f10]) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X4,X5] : ifeq(sum(X0,X1,X2),true,ifeq(sum(X3,X1,X4),true,ifeq(sum(X5,X3,X0),true,sum(X5,X4,X2),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition1) ).
fof(f15,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(sum(X0,X1,X2),true,ifeq(sum(X3,X1,X4),true,ifeq(sum(X5,X3,X0),true,sum(X5,X4,X2),true),true),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X4,X5] : ifeq(sum(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X0,X5),true,sum(X5,X1,X4),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(sum(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X0,X5),true,sum(X5,X1,X4),true),true),true),
inference(reorient_equations,[],[f16]) ).
fof(f18,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(f19,plain,
! [X2,X0,X1] : true = ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true),
inference(reorient_equations,[],[f18]) ).
fof(f24,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(f25,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,[],[f24]) ).
fof(f32,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(f33,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(f34,axiom,
sum(b,additive_inverse(c),bS_Ic) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_inverse_c) ).
fof(f35,plain,
true = sum(b,additive_inverse(c),bS_Ic),
inference(reorient_equations,[],[f34]) ).
fof(f36,axiom,
product(a,b,aPb) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f37,plain,
true = product(a,b,aPb),
inference(reorient_equations,[],[f36]) ).
fof(f38,axiom,
product(a,c,aPc) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c) ).
fof(f39,plain,
true = product(a,c,aPc),
inference(reorient_equations,[],[f38]) ).
fof(f40,axiom,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aPb_plus_IaPc) ).
fof(f41,plain,
true = sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
product(a,bS_Ic,aPb_S_IaPc) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_times_bS_Ic_is_aPb_S__IaPc) ).
fof(f43,plain,
true != product(a,bS_Ic,aPb_S_IaPc),
inference(reorient_equations,[],[f42]) ).
fof(f88,plain,
! [X2,X0,X1] : add(X0,X1) = ifeq2(true,true,ifeq2(sum(X0,X1,X2),true,X2,add(X0,X1)),add(X0,X1)),
inference(superposition,[],[f32,f9]) ).
fof(f91,plain,
! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(true,true,add(X0,X1),X2),X2) = X2,
inference(superposition,[],[f32,f9]) ).
fof(f92,plain,
! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,add(X0,X1),X2) = X2,
inference(forward_demodulation,[],[f91,f1]) ).
fof(f95,plain,
! [X2,X0,X1] : add(X0,X1) = ifeq2(sum(X0,X1,X2),true,X2,add(X0,X1)),
inference(forward_demodulation,[],[f88,f1]) ).
fof(f101,plain,
! [X0] : ifeq2(product(a,b,X0),true,ifeq2(true,true,aPb,X0),X0) = X0,
inference(superposition,[],[f33,f37]) ).
fof(f106,plain,
! [X0] : ifeq2(product(a,b,X0),true,aPb,X0) = X0,
inference(forward_demodulation,[],[f101,f1]) ).
fof(f110,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(sum(X1,X0,X2),true,ifeq(sum(X3,X1,additive_identity),true,sum(X3,X2,X0),true),true),true),
inference(superposition,[],[f15,f3]) ).
fof(f127,plain,
! [X2,X3,X0,X1] : true = ifeq(sum(X1,X0,X2),true,ifeq(sum(X3,X1,additive_identity),true,sum(X3,X2,X0),true),true),
inference(forward_demodulation,[],[f110,f2]) ).
fof(f175,plain,
! [X2,X3,X0,X1] : true = ifeq(sum(X0,X1,additive_identity),true,ifeq(true,true,ifeq(sum(X2,X0,X3),true,sum(X3,X1,X2),true),true),true),
inference(superposition,[],[f17,f5]) ).
fof(f183,plain,
! [X2,X3,X0,X1] : true = ifeq(sum(X0,X1,additive_identity),true,ifeq(sum(X2,X0,X3),true,sum(X3,X1,X2),true),true),
inference(forward_demodulation,[],[f175,f2]) ).
fof(f228,plain,
! [X2,X3,X0,X1] : true = ifeq(product(a,X0,X1),true,ifeq(product(a,X2,X3),true,ifeq(true,true,ifeq(sum(c,X2,X0),true,sum(aPc,X3,X1),true),true),true),true),
inference(superposition,[],[f25,f39]) ).
fof(f246,plain,
! [X2,X3,X0,X1] : true = ifeq(product(a,X0,X1),true,ifeq(product(a,X2,X3),true,ifeq(sum(c,X2,X0),true,sum(aPc,X3,X1),true),true),true),
inference(forward_demodulation,[],[f228,f2]) ).
fof(f390,plain,
! [X0,X1] : true = ifeq(true,true,sum(X1,X0,add(X0,X1)),true),
inference(superposition,[],[f19,f9]) ).
fof(f414,plain,
! [X0,X1] : true = sum(X1,X0,add(X0,X1)),
inference(forward_demodulation,[],[f390,f2]) ).
fof(f606,plain,
multiply(a,b) = ifeq2(true,true,aPb,multiply(a,b)),
inference(superposition,[],[f106,f7]) ).
fof(f608,plain,
aPb = multiply(a,b),
inference(forward_demodulation,[],[f606,f1]) ).
fof(f674,plain,
! [X2,X0,X1] : true = ifeq(product(a,X0,X1),true,ifeq(true,true,ifeq(sum(c,X2,X0),true,sum(aPc,multiply(a,X2),X1),true),true),true),
inference(superposition,[],[f246,f7]) ).
fof(f690,plain,
! [X2,X0,X1] : true = ifeq(product(a,X0,X1),true,ifeq(sum(c,X2,X0),true,sum(aPc,multiply(a,X2),X1),true),true),
inference(forward_demodulation,[],[f674,f2]) ).
fof(f859,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(sum(X1,additive_inverse(X0),X2),true,sum(X2,X0,X1),true),true),
inference(superposition,[],[f183,f11]) ).
fof(f899,plain,
! [X2,X0,X1] : true = ifeq(sum(X1,additive_inverse(X0),X2),true,sum(X2,X0,X1),true),
inference(forward_demodulation,[],[f859,f2]) ).
fof(f1079,plain,
! [X0,X1] : add(X1,X0) = ifeq2(true,true,add(X0,X1),add(X1,X0)),
inference(superposition,[],[f92,f414]) ).
fof(f1081,plain,
aPb_S_IaPc = ifeq2(true,true,add(aPb,additive_inverse(aPc)),aPb_S_IaPc),
inference(superposition,[],[f92,f41]) ).
fof(f1093,plain,
aPb_S_IaPc = add(aPb,additive_inverse(aPc)),
inference(forward_demodulation,[],[f1081,f1]) ).
fof(f1095,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(forward_demodulation,[],[f1079,f1]) ).
fof(f1461,plain,
true = ifeq(true,true,sum(bS_Ic,c,b),true),
inference(superposition,[],[f899,f35]) ).
fof(f1502,plain,
true = sum(bS_Ic,c,b),
inference(forward_demodulation,[],[f1461,f2]) ).
fof(f1519,plain,
true = ifeq(true,true,sum(c,bS_Ic,b),true),
inference(superposition,[],[f19,f1502]) ).
fof(f1570,plain,
true = sum(c,bS_Ic,b),
inference(forward_demodulation,[],[f1519,f2]) ).
fof(f5560,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(sum(c,X1,X0),true,sum(aPc,multiply(a,X1),multiply(a,X0)),true),true),
inference(superposition,[],[f690,f7]) ).
fof(f5592,plain,
! [X0,X1] : true = ifeq(sum(c,X1,X0),true,sum(aPc,multiply(a,X1),multiply(a,X0)),true),
inference(forward_demodulation,[],[f5560,f2]) ).
fof(f5606,plain,
true = ifeq(true,true,sum(aPc,multiply(a,bS_Ic),multiply(a,b)),true),
inference(superposition,[],[f5592,f1570]) ).
fof(f5623,plain,
true = sum(aPc,multiply(a,bS_Ic),multiply(a,b)),
inference(forward_demodulation,[],[f5606,f2]) ).
fof(f5632,plain,
true = sum(aPc,multiply(a,bS_Ic),aPb),
inference(forward_demodulation,[],[f5623,f608]) ).
fof(f9273,plain,
! [X2,X0,X1] : true = ifeq(sum(X0,X1,X2),true,ifeq(true,true,sum(additive_inverse(X0),X2,X1),true),true),
inference(superposition,[],[f127,f11]) ).
fof(f9339,plain,
! [X2,X0,X1] : true = ifeq(sum(X0,X1,X2),true,sum(additive_inverse(X0),X2,X1),true),
inference(forward_demodulation,[],[f9273,f2]) ).
fof(f9391,plain,
true = ifeq(true,true,sum(additive_inverse(aPc),aPb,multiply(a,bS_Ic)),true),
inference(superposition,[],[f9339,f5632]) ).
fof(f9487,plain,
true = sum(additive_inverse(aPc),aPb,multiply(a,bS_Ic)),
inference(forward_demodulation,[],[f9391,f2]) ).
fof(f18701,plain,
add(additive_inverse(aPc),aPb) = ifeq2(true,true,multiply(a,bS_Ic),add(additive_inverse(aPc),aPb)),
inference(superposition,[],[f95,f9487]) ).
fof(f18826,plain,
add(additive_inverse(aPc),aPb) = multiply(a,bS_Ic),
inference(forward_demodulation,[],[f18701,f1]) ).
fof(f18870,plain,
add(aPb,additive_inverse(aPc)) = multiply(a,bS_Ic),
inference(forward_demodulation,[],[f18826,f1095]) ).
fof(f18878,plain,
aPb_S_IaPc = multiply(a,bS_Ic),
inference(forward_demodulation,[],[f18870,f1093]) ).
fof(f18913,plain,
true = product(a,bS_Ic,aPb_S_IaPc),
inference(superposition,[],[f7,f18878]) ).
fof(f18914,plain,
$false,
inference(forward_subsumption_resolution,[],[f18913,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG006-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n007.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 22:55:55 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.55/4.06 % (1868816)Detected a unit-equality problem, will run specialized UEQ schedule.
% 18.55/4.06 % (1868824)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3248286578:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 18.55/4.06 % (1868828)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2148807120:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 18.55/4.06 % (1868823)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2611981046:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 18.55/4.06 % (1868825)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2618230051:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 18.55/4.06 % (1868826)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1096504302:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 18.55/4.06 % (1868827)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1200428573:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 18.55/4.06 % (1868829)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1841742780:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 18.55/4.06 % (1868826)Instruction limit reached!
% 18.55/4.06 % (1868826)------------------------------
% 18.55/4.06 % (1868826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.55/4.06 % (1868826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.55/4.06 % (1868826)CaDiCaL version: 2.1.3
% 18.55/4.06 % (1868826)Termination reason: Instruction limit
% 18.55/4.06 % (1868826)Termination phase: Saturation
% 18.55/4.06 % (1868826)Time elapsed: 0.126 s
% 18.55/4.06 % (1868826)Peak memory usage: 89 MB
% 18.55/4.06 % (1868826)Instructions burned: 136 (million)
% 18.55/4.06 % (1868828)Instruction limit reached!
% 18.55/4.06 % (1868828)------------------------------
% 18.55/4.06 % (1868828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.55/4.06 % (1868828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.55/4.06 % (1868828)CaDiCaL version: 2.1.3
% 18.55/4.06 % (1868828)Termination reason: Instruction limit
% 18.55/4.06 % (1868828)Termination phase: Saturation
% 18.55/4.06 % (1868828)Time elapsed: 0.212 s
% 18.55/4.06 % (1868828)Peak memory usage: 91 MB
% 18.55/4.06 % (1868828)Instructions burned: 257 (million)
% 18.55/4.06 % (1868827)Instruction limit reached!
% 18.55/4.06 % (1868827)------------------------------
% 18.55/4.06 % (1868827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.55/4.06 % (1868827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.55/4.06 % (1868827)CaDiCaL version: 2.1.3
% 18.55/4.06 % (1868827)Termination reason: Instruction limit
% 18.55/4.06 % (1868827)Termination phase: Saturation
% 18.55/4.06 % (1868827)Time elapsed: 0.172 s
% 18.55/4.06 % (1868827)Peak memory usage: 89 MB
% 18.55/4.06 % (1868827)Instructions burned: 182 (million)
% 18.55/4.06 % (1868837)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=759298326:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 18.55/4.06 % (1868838)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=260792161:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 18.55/4.06 % (1868839)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=759997759:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 18.55/4.06 % (1868839)Instruction limit reached!
% 18.55/4.06 % (1868839)------------------------------
% 18.55/4.06 % (1868839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.55/4.06 % (1868839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.55/4.06 % (1868839)CaDiCaL version: 2.1.3
% 18.55/4.06 % (1868839)Termination reason: Instruction limit
% 18.55/4.06 % (1868839)Termination phase: Saturation
% 18.55/4.06 % (1868839)Time elapsed: 0.180 s
% 18.55/4.06 % (1868839)Peak memory usage: 91 MB
% 18.55/4.06 % (1868839)Instructions burned: 216 (million)
% 18.55/4.06 % (1868843)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1641046489:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 18.55/4.06 % (1868829)Instruction limit reached!
% 18.55/4.06 % (1868829)------------------------------
% 18.55/4.06 % (1868829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.55/4.06 % (1868829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.55/4.06 % (1868829)CaDiCaL version: 2.1.3
% 18.55/4.06 % (1868829)Termination reason: Instruction limit
% 18.55/4.06 % (1868829)Termination phase: Saturation
% 18.55/4.06 % (1868829)Time elapsed: 1.081 s
% 18.55/4.06 % (1868829)Peak memory usage: 101 MB
% 18.55/4.06 % (1868829)Instructions burned: 1187 (million)
% 18.55/4.06 % (1868843)Instruction limit reached!
% 18.55/4.06 % (1868843)------------------------------
% 18.55/4.06 % (1868843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.55/4.06 % (1868843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.55/4.06 % (1868843)CaDiCaL version: 2.1.3
% 18.55/4.06 % (1868843)Termination reason: Instruction limit
% 18.55/4.06 % (1868843)Termination phase: Saturation
% 18.55/4.06 % (1868843)Time elapsed: 0.284 s
% 18.55/4.06 % (1868843)Peak memory usage: 94 MB
% 18.55/4.06 % (1868843)Instructions burned: 317 (million)
% 18.55/4.06 % (1868845)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3134494106:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 18.55/4.06 % (1868846)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1229087691:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 18.55/4.06 % (1868824)First to succeed.
% 18.55/4.06 % (1868824)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1868816"
% 18.55/4.06 % (1868837)Instruction limit reached!
% 18.55/4.06 % (1868837)------------------------------
% 18.55/4.06 % (1868837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.55/4.06 % (1868837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.55/4.06 % (1868837)CaDiCaL version: 2.1.3
% 18.55/4.06 % (1868837)Termination reason: Instruction limit
% 18.55/4.06 % (1868837)Termination phase: Saturation
% 18.55/4.06 % (1868837)Time elapsed: 2.156 s
% 18.55/4.06 % (1868837)Peak memory usage: 141 MB
% 18.55/4.06 % (1868837)Instructions burned: 2051 (million)
% 18.55/4.06 % (1868824)Refutation found. Thanks to Tanya!
% 18.55/4.06 % SZS status Unsatisfiable for theBenchmark
% 18.55/4.06 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/4.20 % (1868824)------------------------------
% 0.27/4.20 % (1868824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/4.20 % (1868824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/4.20 % (1868824)CaDiCaL version: 2.1.3
% 0.27/4.20 % (1868824)Termination reason: Refutation
% 0.27/4.20 % (1868824)Time elapsed: 2.545 s
% 0.27/4.20 % (1868824)Peak memory usage: 167 MB
% 0.27/4.20 % (1868824)Instructions burned: 4817 (million)
% 0.27/4.20 % (1868824)------------------------------
% 0.27/4.20 % (1868824)------------------------------
% 0.27/4.20 % (1868816)Success in time 2.971 s
% 0.27/4.20 % Vampire exiting
%------------------------------------------------------------------------------