%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL014+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:33:43 PM UTC 2026
% Result : Theorem 3.38s 11.39s
% Output : Refutation 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 20 unt; 2 def)
% Number of atoms : 48 ( 29 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 10 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 24 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f14,conjecture,
! [X0] :
( composition(X0,one) = X0
& composition(one,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( composition(X0,one) = X0
& composition(one,X0) = X0 ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] :
( composition(X0,one) != X0
| composition(one,X0) != X0 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( sK0 != composition(sK0,one)
| sK0 != composition(one,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f22,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
( sK0 != composition(sK0,one)
| sK0 != composition(one,sK0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f33,definition,
( spl1_1
<=> sK0 = composition(one,sK0) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f35,plain,
( sK0 != composition(one,sK0)
| spl1_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f37,definition,
( spl1_2
<=> sK0 = composition(sK0,one) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f39,plain,
( sK0 != composition(sK0,one)
| spl1_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f40,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f31,f37,f33]) ).
fof(f62,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f77,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f22,f23]) ).
fof(f463,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f62,f23]) ).
fof(f486,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f463,f25]) ).
fof(f505,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f77,f486]) ).
fof(f509,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f505,f486]) ).
fof(f617,plain,
( sK0 != sK0
| spl1_1 ),
inference(superposition,[],[f35,f509]) ).
fof(f623,plain,
( $false
| spl1_1 ),
inference(trivial_inequality_removal,[],[f617]) ).
fof(f624,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f629,plain,
( $false
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f39,f23]) ).
fof(f630,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f629]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f40]) ).
cnf(s2,plain,
spl1_1,
inference(sat_conversion,[],[f624]) ).
cnf(s3,plain,
spl1_2,
inference(sat_conversion,[],[f630]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f631,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL014+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/10.39 % Computer : n006.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Sun Sep 27 22:50:55 UTC 2026
% 0.15/10.40 % CPUTime :
% 0.15/10.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 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
% 3.38/11.39 % (3414973)Detected formulas, will run a generic FOF schedule.
% 3.38/11.39 % (3415036)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=3316575336:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.38/11.39 % (3415043)dis-21_1_sil=8000:lcm=predicate:random_seed=3292061562: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)
% 3.38/11.39 % (3415033)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=1530872557:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.38/11.39 % (3415038)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1344193062:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.38/11.39 % (3415041)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2880068510:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.38/11.39 % (3415035)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=3716416104:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.38/11.39 % (3415038)Refutation not found, incomplete strategy
% 3.38/11.39 % (3415038)------------------------------
% 3.38/11.39 % (3415038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/11.39 % (3415038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/11.39 % (3415038)CaDiCaL version: 2.1.3
% 3.38/11.39 % (3415038)Termination reason: Refutation not found, incomplete strategy
% 3.38/11.39 % (3415038)Time elapsed: 0.001 s
% 3.38/11.39 % (3415038)Peak memory usage: 88 MB
% 3.38/11.39 % (3415043)Refutation not found, incomplete strategy
% 3.38/11.39 % (3415043)------------------------------
% 3.38/11.39 % (3415043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/11.39 % (3415043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/11.39 % (3415043)CaDiCaL version: 2.1.3
% 3.38/11.39 % (3415043)Termination reason: Refutation not found, incomplete strategy
% 3.38/11.39 % (3415043)Time elapsed: 0.001 s
% 3.38/11.39 % (3415043)Peak memory usage: 88 MB
% 3.38/11.39 % (3415043)Instructions burned: 1 (million)
% 3.38/11.39 % (3415040)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3912977726:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.38/11.39 % (3415041)First to succeed.
% 3.38/11.39 % (3415041)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3414973"
% 3.38/11.39 % (3415040)Instruction limit reached!
% 3.38/11.39 % (3415040)------------------------------
% 3.38/11.39 % (3415040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/11.39 % (3415040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/11.39 % (3415040)CaDiCaL version: 2.1.3
% 3.38/11.39 % (3415040)Termination reason: Instruction limit
% 3.38/11.39 % (3415040)Termination phase: Saturation
% 3.38/11.39 % (3415040)Time elapsed: 0.058 s
% 3.38/11.39 % (3415040)Peak memory usage: 88 MB
% 3.38/11.39 % (3415040)Instructions burned: 121 (million)
% 3.38/11.39 % (3415099)lrs+10_1_sil=8000:sp=occurrence:random_seed=3559470976:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.38/11.39 % (3415099)Also succeeded, but the first one will report.
% 3.38/11.39 % (3415043)------------------------------
% 3.38/11.39 % (3415043)------------------------------
% 3.38/11.39 % (3415038)------------------------------
% 3.38/11.39 % (3415038)------------------------------
% 3.38/11.39 % (3415041)Refutation found. Thanks to Tanya!
% 3.38/11.39 % SZS status Theorem for theBenchmark
% 3.38/11.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.38/11.39 % (3415041)------------------------------
% 3.38/11.39 % (3415041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/11.39 % (3415041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/11.39 % (3415041)CaDiCaL version: 2.1.3
% 3.38/11.39 % (3415041)Termination reason: Refutation
% 3.38/11.39 % (3415041)Time elapsed: 0.017 s
% 3.38/11.39 % (3415041)Peak memory usage: 90 MB
% 3.38/11.39 % (3415041)Instructions burned: 25 (million)
% 3.38/11.39 % (3415041)------------------------------
% 3.38/11.39 % (3415041)------------------------------
% 3.38/11.39 % (3414973)Success in time 0.422 s
% 3.38/11.39 % Vampire exiting
%------------------------------------------------------------------------------