%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG038-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 2.61s 1.32s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f25,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f27,axiom,
! [X0,X1] :
( product(X0,h(X0,X1),X1)
| ~ equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',some_property) ).
fof(f28,axiom,
product(a,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).
fof(f30,negated_conjecture,
~ equalish(b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_is_additive_identity) ).
fof(f37,plain,
! [X0] :
( ~ product(a,b,X0)
| equalish(X0,additive_identity) ),
inference(resolution,[],[f24,f28]) ).
fof(f38,plain,
! [X0,X1] :
( ~ product(additive_identity,X0,X1)
| equalish(X1,additive_identity) ),
inference(resolution,[],[f24,f25]) ).
fof(f45,plain,
equalish(additive_identity,additive_identity),
inference(resolution,[],[f37,f28]) ).
fof(f75,plain,
! [X0] :
( equalish(X0,additive_identity)
| ~ equalish(additive_identity,additive_identity) ),
inference(resolution,[],[f38,f27]) ).
fof(f81,plain,
! [X0] : equalish(X0,additive_identity),
inference(forward_subsumption_resolution,[],[f75,f45]) ).
fof(f87,plain,
$false,
inference(resolution,[],[f81,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG038-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n014.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 23:01:01 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.61/1.32 % (1272757)Input is clausal, will run a generic CNF schedule.
% 2.61/1.32 % (1272892)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4134121347:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.61/1.32 % (1272892)First to succeed.
% 2.61/1.32 % (1272892)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1272757"
% 2.61/1.32 % (1272891)lrs+10_1_sil=8000:sp=occurrence:random_seed=3084792138:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.61/1.32 % (1272889)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3565528633:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.61/1.32 % (1272888)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=2673132409:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.61/1.32 % (1272890)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2727065662:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.61/1.32 % (1272893)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4235300809:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.61/1.32 % (1272891)Also succeeded, but the first one will report.
% 2.61/1.32 % (1272893)Also succeeded, but the first one will report.
% 2.61/1.32 % (1272894)dis-21_1_sil=8000:lcm=predicate:random_seed=2441935910: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)
% 2.61/1.32 % (1272894)Also succeeded, but the first one will report.
% 2.61/1.32 % (1272892)Refutation found. Thanks to Tanya!
% 2.61/1.32 % SZS status Unsatisfiable for theBenchmark
% 2.61/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.32 % (1272892)------------------------------
% 2.61/1.32 % (1272892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.32 % (1272892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.32 % (1272892)CaDiCaL version: 2.1.3
% 2.61/1.32 % (1272892)Termination reason: Refutation
% 2.61/1.32 % (1272892)Time elapsed: 0.002 s
% 2.61/1.32 % (1272892)Peak memory usage: 88 MB
% 2.61/1.32 % (1272892)Instructions burned: 3 (million)
% 2.61/1.32 % (1272892)------------------------------
% 2.61/1.32 % (1272892)------------------------------
% 2.61/1.32 % (1272757)Success in time 0.272 s
% 2.61/1.32 % Vampire exiting
%------------------------------------------------------------------------------