%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG037-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:35:14 PM UTC 2026
% Result : Unsatisfiable 6.24s 2.22s
% Output : Refutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f16,axiom,
! [X2,X0,X1] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f19,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/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f26,axiom,
! [X0] : product(X0,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f27,axiom,
product(a,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f28,axiom,
product(a,additive_inverse(b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_times_b) ).
fof(f29,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).
fof(f30,plain,
~ sum(d,c,additive_identity),
inference(resolution,[],[f16,f29]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,X4)
| ~ sum(X3,X1,additive_identity)
| ~ product(X0,X1,X2)
| sum(X4,X2,additive_identity) ),
inference(resolution,[],[f19,f26]) ).
fof(f435,plain,
! [X0,X1] :
( ~ product(a,X0,X1)
| ~ sum(b,X0,additive_identity)
| sum(d,X1,additive_identity) ),
inference(resolution,[],[f102,f27]) ).
fof(f1794,plain,
( ~ sum(b,additive_inverse(b),additive_identity)
| sum(d,c,additive_identity) ),
inference(resolution,[],[f435,f28]) ).
fof(f1810,plain,
sum(d,c,additive_identity),
inference(forward_subsumption_resolution,[],[f1794,f13]) ).
fof(f1818,plain,
$false,
inference(forward_subsumption_resolution,[],[f1810,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG037-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 % Computer : n026.cluster.edu
% 0.22/0.49 % Model : x86_64 x86_64
% 0.22/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.49 % Memory : 8046.5625MB
% 0.22/0.49 % OS : Linux 6.8.0-71-generic
% 0.22/0.49 % CPULimit : 300
% 0.22/0.49 % WCLimit : 300
% 0.22/0.49 % DateTime : Sun Sep 27 23:04:11 UTC 2026
% 0.22/0.50 % CPUTime :
% 0.22/0.50 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.56 Running first-order theorem proving
% 0.27/0.56 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
% 6.24/2.22 % (3315447)Input is clausal, will run a generic CNF schedule.
% 6.24/2.22 % (3315454)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=719948713:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.24/2.22 % (3315452)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=4269060977:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.24/2.22 % (3315453)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2177274692:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.24/2.22 % (3315456)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3812743216:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.24/2.22 % (3315455)lrs+10_1_sil=8000:sp=occurrence:random_seed=1401384526:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.24/2.22 % (3315458)dis-21_1_sil=8000:lcm=predicate:random_seed=110330236:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.24/2.22 % (3315457)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1897296090:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.24/2.22 % (3315456)First to succeed.
% 6.24/2.22 % (3315456)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3315447"
% 6.24/2.22 % (3315455)Instruction limit reached!
% 6.24/2.22 % (3315455)------------------------------
% 6.24/2.22 % (3315455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.22 % (3315455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.22 % (3315455)CaDiCaL version: 2.1.3
% 6.24/2.22 % (3315455)Termination reason: Instruction limit
% 6.24/2.22 % (3315455)Termination phase: Saturation
% 6.24/2.22 % (3315455)Time elapsed: 0.108 s
% 6.24/2.22 % (3315455)Peak memory usage: 88 MB
% 6.24/2.22 % (3315455)Instructions burned: 107 (million)
% 6.24/2.22 % (3315458)Instruction limit reached!
% 6.24/2.22 % (3315458)------------------------------
% 6.24/2.22 % (3315458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.22 % (3315458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.22 % (3315458)CaDiCaL version: 2.1.3
% 6.24/2.22 % (3315458)Termination reason: Instruction limit
% 6.24/2.22 % (3315458)Termination phase: Saturation
% 6.24/2.22 % (3315458)Time elapsed: 0.105 s
% 6.24/2.22 % (3315458)Peak memory usage: 88 MB
% 6.24/2.22 % (3315458)Instructions burned: 117 (million)
% 6.24/2.22 % (3315457)Instruction limit reached!
% 6.24/2.22 % (3315457)------------------------------
% 6.24/2.22 % (3315457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.22 % (3315457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.22 % (3315457)CaDiCaL version: 2.1.3
% 6.24/2.22 % (3315457)Termination reason: Instruction limit
% 6.24/2.22 % (3315457)Termination phase: Saturation
% 6.24/2.22 % (3315457)Time elapsed: 0.169 s
% 6.24/2.22 % (3315457)Peak memory usage: 88 MB
% 6.24/2.22 % (3315457)Instructions burned: 180 (million)
% 6.24/2.22 % (3315466)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2155488031:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 6.24/2.22 % (3315467)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3824719098:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 6.24/2.22 % (3315467)Also succeeded, but the first one will report.
% 6.24/2.22 % (3315468)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1912584239:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.24/2.22 % (3315466)Instruction limit reached!
% 6.24/2.22 % (3315466)------------------------------
% 6.24/2.22 % (3315466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.22 % (3315466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.22 % (3315466)CaDiCaL version: 2.1.3
% 6.24/2.22 % (3315466)Termination reason: Instruction limit
% 6.24/2.22 % (3315466)Termination phase: Saturation
% 6.24/2.22 % (3315466)Time elapsed: 0.145 s
% 6.24/2.22 % (3315466)Peak memory usage: 89 MB
% 6.24/2.22 % (3315466)Instructions burned: 143 (million)
% 6.24/2.22 % (3315456)Refutation found. Thanks to Tanya!
% 6.24/2.22 % SZS status Unsatisfiable for theBenchmark
% 6.24/2.22 % SZS output start Proof for theBenchmark
% See solution above
% 6.24/2.22 % (3315456)------------------------------
% 6.24/2.22 % (3315456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/2.22 % (3315456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/2.22 % (3315456)CaDiCaL version: 2.1.3
% 6.24/2.22 % (3315456)Termination reason: Refutation
% 6.24/2.22 % (3315456)Time elapsed: 0.093 s
% 6.24/2.22 % (3315456)Peak memory usage: 88 MB
% 6.24/2.22 % (3315456)Instructions burned: 105 (million)
% 6.24/2.22 % (3315456)------------------------------
% 6.24/2.22 % (3315456)------------------------------
% 6.24/2.22 % (3315447)Success in time 0.739 s
% 6.24/2.22 % Vampire exiting
%------------------------------------------------------------------------------