%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT026-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:36:46 PM UTC 2026
% Result : Unsatisfiable 3.78s 1.51s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 16 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f493,axiom,
! [X2,X0,X1] :
( X0 = X1
| X0 = X1
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_4) ).
fof(f495,axiom,
! [X0,X1] :
( c_in(c_Arrow__Order__Mirabelle_Omktop(X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mktop__Lin_0) ).
fof(f498,axiom,
c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linear__alt_0) ).
fof(f566,axiom,
v_a != v_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_0) ).
fof(f573,negated_conjecture,
! [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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f605,plain,
! [X2,X0,X1] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f493]) ).
fof(f612,plain,
! [X0] :
( v_a = v_b
| ~ c_in(c_Arrow__Order__Mirabelle_Omktop(X0,v_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(resolution,[],[f605,f573]) ).
fof(f613,plain,
! [X0] : ~ c_in(c_Arrow__Order__Mirabelle_Omktop(X0,v_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(forward_subsumption_resolution,[],[f612,f566]) ).
fof(f618,plain,
! [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)),
inference(resolution,[],[f495,f613]) ).
fof(f619,plain,
$false,
inference(resolution,[],[f618,f498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT026-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:32:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 3.78/1.51 % (2852495)Input is clausal, will run a generic CNF schedule.
% 3.78/1.51 % (2852503)lrs+10_1_sil=8000:sp=occurrence:random_seed=3023060863:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.78/1.51 % (2852504)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2095601358:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.78/1.51 % (2852506)dis-21_1_sil=8000:lcm=predicate:random_seed=3489770147: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)
% 3.78/1.51 % (2852505)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=22924303:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.78/1.51 % (2852502)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4022052434:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.78/1.51 % (2852500)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=3349519786:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.78/1.51 % (2852501)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1825420901:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.78/1.51 % (2852503)Instruction limit reached!
% 3.78/1.51 % (2852503)------------------------------
% 3.78/1.51 % (2852503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.51 % (2852503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.51 % (2852503)CaDiCaL version: 2.1.3
% 3.78/1.51 % (2852503)Termination reason: Instruction limit
% 3.78/1.51 % (2852503)Termination phase: Saturation
% 3.78/1.51 % (2852503)Time elapsed: 0.036 s
% 3.78/1.51 % (2852503)Peak memory usage: 88 MB
% 3.78/1.51 % (2852503)Instructions burned: 110 (million)
% 3.78/1.51 % (2852505)First to succeed.
% 3.78/1.51 % (2852505)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2852495"
% 3.78/1.51 % (2852506)Instruction limit reached!
% 3.78/1.51 % (2852506)------------------------------
% 3.78/1.51 % (2852506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.51 % (2852506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.51 % (2852506)CaDiCaL version: 2.1.3
% 3.78/1.51 % (2852506)Termination reason: Instruction limit
% 3.78/1.51 % (2852506)Termination phase: Saturation
% 3.78/1.51 % (2852506)Time elapsed: 0.069 s
% 3.78/1.51 % (2852506)Peak memory usage: 89 MB
% 3.78/1.51 % (2852506)Instructions burned: 118 (million)
% 3.78/1.51 % (2852504)Instruction limit reached!
% 3.78/1.51 % (2852504)------------------------------
% 3.78/1.51 % (2852504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.51 % (2852504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.51 % (2852504)CaDiCaL version: 2.1.3
% 3.78/1.51 % (2852504)Termination reason: Instruction limit
% 3.78/1.51 % (2852504)Termination phase: Saturation
% 3.78/1.51 % (2852504)Time elapsed: 0.076 s
% 3.78/1.51 % (2852504)Peak memory usage: 89 MB
% 3.78/1.51 % (2852504)Instructions burned: 115 (million)
% 3.78/1.51 % (2852514)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=3203633083:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.78/1.51 % (2852514)Refutation not found, incomplete strategy
% 3.78/1.51 % (2852514)------------------------------
% 3.78/1.51 % (2852514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.51 % (2852514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.51 % (2852514)CaDiCaL version: 2.1.3
% 3.78/1.51 % (2852514)Termination reason: Refutation not found, incomplete strategy
% 3.78/1.51 % (2852514)Time elapsed: 0.002 s
% 3.78/1.51 % (2852514)Peak memory usage: 88 MB
% 3.78/1.51 % (2852514)Instructions burned: 4 (million)
% 3.78/1.51 % (2852515)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=820321829:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.78/1.51 % (2852515)Refutation not found, incomplete strategy
% 3.78/1.51 % (2852515)------------------------------
% 3.78/1.51 % (2852515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.51 % (2852515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.51 % (2852515)CaDiCaL version: 2.1.3
% 3.78/1.51 % (2852515)Termination reason: Refutation not found, incomplete strategy
% 3.78/1.51 % (2852515)Time elapsed: 0.013 s
% 3.78/1.51 % (2852515)Peak memory usage: 89 MB
% 3.78/1.51 % (2852515)Instructions burned: 23 (million)
% 3.78/1.51 % (2852516)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3071879533:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.78/1.51 % (2852505)Refutation found. Thanks to Tanya!
% 3.78/1.51 % SZS status Unsatisfiable for theBenchmark
% 3.78/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.51 % (2852505)------------------------------
% 3.78/1.51 % (2852505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.51 % (2852505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.51 % (2852505)CaDiCaL version: 2.1.3
% 3.78/1.51 % (2852505)Termination reason: Refutation
% 3.78/1.51 % (2852505)Time elapsed: 0.013 s
% 3.78/1.51 % (2852505)Peak memory usage: 88 MB
% 3.78/1.51 % (2852505)Instructions burned: 23 (million)
% 3.78/1.51 % (2852505)------------------------------
% 3.78/1.51 % (2852505)------------------------------
% 3.78/1.51 % (2852495)Success in time 0.462 s
% 3.78/1.51 % Vampire exiting
%------------------------------------------------------------------------------