%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT073-1 : 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 : n012.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 12:36:52 PM UTC 2026
% Result : Unsatisfiable 2.17s 0.91s
% Output : Refutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 8 unt; 2 def)
% Number of atoms : 36 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f491,axiom,
! [X0,X1] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X0,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__Lin_1) ).
fof(f492,axiom,
! [X0,X1] :
( c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__Lin_0) ).
fof(f569,axiom,
! [X0] :
( v_thesis____
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f571,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f572,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f608,definition,
( spl0_1
<=> ! [X0] :
( ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f609,plain,
( ! [X0] :
( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f611,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f614,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f569,f611,f608]) ).
fof(f615,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f572,f611]) ).
fof(f618,plain,
( v_a____ = v_b____
| ~ c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(v_a____,v_b____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ spl0_1 ),
inference(resolution,[],[f491,f609]) ).
fof(f619,plain,
( ~ c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(v_a____,v_b____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f618,f571]) ).
fof(f887,plain,
( v_a____ = v_b____
| ~ spl0_1 ),
inference(resolution,[],[f619,f492]) ).
fof(f889,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f887,f571]) ).
fof(f890,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f889]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f614]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f615]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f890]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f891,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SCT073-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 23:37:20 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 2.17/0.91 % (2875620)Input is clausal, will run a generic CNF schedule.
% 2.17/0.91 % (2875630)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3550002361:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.17/0.91 % (2875626)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=548119522:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.17/0.91 % (2875631)dis-21_1_sil=8000:lcm=predicate:random_seed=4200549135: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)
% 2.17/0.91 % (2875629)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1453869762:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.17/0.91 % (2875625)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=2903546804:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.17/0.91 % (2875627)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2031967524:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.17/0.91 % (2875628)lrs+10_1_sil=8000:sp=occurrence:random_seed=1713984100:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.17/0.91 % (2875628)Refutation not found, incomplete strategy
% 2.17/0.91 % (2875628)------------------------------
% 2.17/0.91 % (2875628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.17/0.91 % (2875628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.91 % (2875628)CaDiCaL version: 2.1.3
% 2.17/0.91 % (2875628)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.91 % (2875628)Time elapsed: 0.002 s
% 2.17/0.91 % (2875628)Peak memory usage: 88 MB
% 2.17/0.91 % (2875628)Instructions burned: 2 (million)
% 2.17/0.91 % (2875630)First to succeed.
% 2.17/0.91 % (2875630)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2875620"
% 2.17/0.91 % (2875631)Instruction limit reached!
% 2.17/0.91 % (2875631)------------------------------
% 2.17/0.91 % (2875631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.17/0.91 % (2875631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.91 % (2875631)CaDiCaL version: 2.1.3
% 2.17/0.91 % (2875631)Termination reason: Instruction limit
% 2.17/0.91 % (2875631)Termination phase: Saturation
% 2.17/0.91 % (2875631)Time elapsed: 0.035 s
% 2.17/0.91 % (2875631)Peak memory usage: 89 MB
% 2.17/0.91 % (2875631)Instructions burned: 120 (million)
% 2.17/0.91 % (2875629)Instruction limit reached!
% 2.17/0.91 % (2875629)------------------------------
% 2.17/0.91 % (2875629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.17/0.91 % (2875629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.91 % (2875629)CaDiCaL version: 2.1.3
% 2.17/0.91 % (2875629)Termination reason: Instruction limit
% 2.17/0.91 % (2875629)Termination phase: Saturation
% 2.17/0.91 % (2875629)Time elapsed: 0.041 s
% 2.17/0.91 % (2875629)Peak memory usage: 89 MB
% 2.17/0.91 % (2875629)Instructions burned: 116 (million)
% 2.17/0.91 % (2875639)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=3106112811:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.17/0.91 % (2875639)Refutation not found, incomplete strategy
% 2.17/0.91 % (2875639)------------------------------
% 2.17/0.91 % (2875639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.17/0.91 % (2875639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.91 % (2875639)CaDiCaL version: 2.1.3
% 2.17/0.91 % (2875639)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.91 % (2875639)Time elapsed: 0.001 s
% 2.17/0.91 % (2875639)Peak memory usage: 88 MB
% 2.17/0.91 % (2875639)Instructions burned: 2 (million)
% 2.17/0.91 % (2875640)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4273659898:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.17/0.91 % (2875640)Refutation not found, incomplete strategy
% 2.17/0.91 % (2875640)------------------------------
% 2.17/0.91 % (2875640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.17/0.91 % (2875640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.91 % (2875640)CaDiCaL version: 2.1.3
% 2.17/0.91 % (2875640)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.91 % (2875640)Time elapsed: 0.005 s
% 2.17/0.91 % (2875640)Peak memory usage: 88 MB
% 2.17/0.91 % (2875640)Instructions burned: 16 (million)
% 2.17/0.91 % (2875628)------------------------------
% 2.17/0.91 % (2875628)------------------------------
% 2.17/0.91 % (2875630)Refutation found. Thanks to Tanya!
% 2.17/0.91 % SZS status Unsatisfiable for theBenchmark
% 2.17/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 2.17/0.91 % (2875630)------------------------------
% 2.17/0.91 % (2875630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.17/0.91 % (2875630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.91 % (2875630)CaDiCaL version: 2.1.3
% 2.17/0.91 % (2875630)Termination reason: Refutation
% 2.17/0.91 % (2875630)Time elapsed: 0.013 s
% 2.17/0.91 % (2875630)Peak memory usage: 90 MB
% 2.17/0.91 % (2875630)Instructions burned: 40 (million)
% 2.17/0.91 % (2875630)------------------------------
% 2.17/0.91 % (2875630)------------------------------
% 2.17/0.91 % (2875620)Success in time 0.281 s
% 2.17/0.91 % Vampire exiting
%------------------------------------------------------------------------------