%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM851+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:17:16 PM UTC 2026
% Result : Theorem 4.86s 1.64s
% Output : Refutation 4.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq_conjunct2(conseq(302)), 475, 1)') ).
fof(f2,negated_conjecture,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f7,axiom,
! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f8,axiom,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f46,axiom,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f56,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(flattening,[],[f2]) ).
fof(f65,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(cnf_transformation,[],[f56]) ).
fof(f69,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f82,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f83,plain,
! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f90,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
inference(forward_demodulation,[],[f65,f82]) ).
fof(f92,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd469,vd473),vmul(vd471,vd469)),
inference(forward_demodulation,[],[f90,f69]) ).
fof(f93,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd469,vd473),vmul(vd469,vd471)),
inference(forward_demodulation,[],[f92,f82]) ).
fof(f94,plain,
vmul(vplus(vd471,vd473),vd469) != vmul(vd469,vplus(vd473,vd471)),
inference(forward_demodulation,[],[f93,f83]) ).
fof(f95,plain,
vmul(vplus(vd471,vd473),vd469) != vmul(vd469,vplus(vd471,vd473)),
inference(forward_demodulation,[],[f94,f69]) ).
fof(f96,plain,
$false,
inference(forward_subsumption_resolution,[],[f95,f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM851+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 21:31:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 4.86/1.64 % (1328313)Detected formulas, will run a generic FOF schedule.
% 4.86/1.64 % (1328321)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3278515287:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.86/1.64 % (1328321)Refutation not found, incomplete strategy
% 4.86/1.64 % (1328321)------------------------------
% 4.86/1.64 % (1328321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.64 % (1328321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.64 % (1328321)CaDiCaL version: 2.1.3
% 4.86/1.64 % (1328321)Termination reason: Refutation not found, incomplete strategy
% 4.86/1.64 % (1328321)Time elapsed: 0.001 s
% 4.86/1.64 % (1328321)Peak memory usage: 88 MB
% 4.86/1.64 % (1328321)Instructions burned: 1 (million)
% 4.86/1.64 % (1328323)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3862412117:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.86/1.64 % (1328322)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=799902191:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.86/1.64 % (1328318)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2500744389:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.86/1.64 % (1328324)dis-21_1_sil=8000:lcm=predicate:random_seed=4021913202:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.86/1.64 % (1328320)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1570838452:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.86/1.64 % (1328319)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3391038336:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.86/1.64 % (1328322)Instruction limit reached!
% 4.86/1.64 % (1328322)------------------------------
% 4.86/1.64 % (1328322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.64 % (1328322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.64 % (1328322)CaDiCaL version: 2.1.3
% 4.86/1.64 % (1328322)Termination reason: Instruction limit
% 4.86/1.64 % (1328322)Termination phase: Saturation
% 4.86/1.64 % (1328322)Time elapsed: 0.071 s
% 4.86/1.64 % (1328322)Peak memory usage: 89 MB
% 4.86/1.64 % (1328322)Instructions burned: 120 (million)
% 4.86/1.64 % (1328324)Instruction limit reached!
% 4.86/1.64 % (1328324)------------------------------
% 4.86/1.64 % (1328324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.64 % (1328324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.64 % (1328324)CaDiCaL version: 2.1.3
% 4.86/1.64 % (1328324)Termination reason: Instruction limit
% 4.86/1.64 % (1328324)Termination phase: Saturation
% 4.86/1.64 % (1328324)Time elapsed: 0.080 s
% 4.86/1.64 % (1328324)Peak memory usage: 89 MB
% 4.86/1.64 % (1328324)Instructions burned: 129 (million)
% 4.86/1.64 % (1328323)Instruction limit reached!
% 4.86/1.64 % (1328323)------------------------------
% 4.86/1.64 % (1328323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.64 % (1328323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.64 % (1328323)CaDiCaL version: 2.1.3
% 4.86/1.64 % (1328323)Termination reason: Instruction limit
% 4.86/1.64 % (1328323)Termination phase: Saturation
% 4.86/1.64 % (1328323)Time elapsed: 0.097 s
% 4.86/1.64 % (1328323)Peak memory usage: 90 MB
% 4.86/1.64 % (1328323)Instructions burned: 140 (million)
% 4.86/1.64 % (1328321)------------------------------
% 4.86/1.64 % (1328321)------------------------------
% 4.86/1.64 % (1328335)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1625071695:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.86/1.64 % (1328332)lrs+10_1_sil=8000:sp=occurrence:random_seed=3752818722:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.86/1.64 % (1328333)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3206912042:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.86/1.64 % (1328333)First to succeed.
% 4.86/1.64 % (1328333)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1328313"
% 4.86/1.64 % (1328334)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2129852465:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.86/1.64 % (1328335)Instruction limit reached!
% 4.86/1.64 % (1328335)------------------------------
% 4.86/1.64 % (1328335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.64 % (1328335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.64 % (1328335)CaDiCaL version: 2.1.3
% 4.86/1.64 % (1328335)Termination reason: Instruction limit
% 4.86/1.64 % (1328335)Termination phase: Saturation
% 4.86/1.64 % (1328335)Time elapsed: 0.080 s
% 4.86/1.64 % (1328335)Peak memory usage: 90 MB
% 4.86/1.64 % (1328335)Instructions burned: 249 (million)
% 4.86/1.64 % (1328340)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2376866884:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.86/1.64 % (1328340)Also succeeded, but the first one will report.
% 4.86/1.64 % (1328332)Instruction limit reached!
% 4.86/1.64 % (1328332)------------------------------
% 4.86/1.64 % (1328332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.64 % (1328332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.64 % (1328332)CaDiCaL version: 2.1.3
% 4.86/1.64 % (1328332)Termination reason: Instruction limit
% 4.86/1.64 % (1328332)Termination phase: Saturation
% 4.86/1.64 % (1328332)Time elapsed: 0.182 s
% 4.86/1.64 % (1328332)Peak memory usage: 91 MB
% 4.86/1.64 % (1328332)Instructions burned: 286 (million)
% 4.86/1.64 % (1328334)Instruction limit reached!
% 4.86/1.64 % (1328334)------------------------------
% 4.86/1.64 % (1328334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.64 % (1328334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.64 % (1328334)CaDiCaL version: 2.1.3
% 4.86/1.64 % (1328334)Termination reason: Instruction limit
% 4.86/1.64 % (1328334)Termination phase: Saturation
% 4.86/1.64 % (1328334)Time elapsed: 0.208 s
% 4.86/1.64 % (1328334)Peak memory usage: 92 MB
% 4.86/1.64 % (1328334)Instructions burned: 326 (million)
% 4.86/1.64 % (1328333)Refutation found. Thanks to Tanya!
% 4.86/1.64 % SZS status Theorem for theBenchmark
% 4.86/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 4.86/1.65 % (1328333)------------------------------
% 4.86/1.65 % (1328333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.65 % (1328333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.65 % (1328333)CaDiCaL version: 2.1.3
% 4.86/1.65 % (1328333)Termination reason: Refutation
% 4.86/1.65 % (1328333)Time elapsed: 0.002 s
% 4.86/1.65 % (1328333)Peak memory usage: 89 MB
% 4.86/1.65 % (1328333)Instructions burned: 2 (million)
% 4.86/1.65 % (1328333)------------------------------
% 4.86/1.65 % (1328333)------------------------------
% 4.86/1.65 % (1328313)Success in time 0.606 s
% 4.86/1.65 % Vampire exiting
%------------------------------------------------------------------------------