%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT029-1 : 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 : n013.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 : Satisfiable 2.74s 1.35s
% Output : Saturation 2.74s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( ~ c_fequal(X0,X1,X2)
| X0 = X1 ) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
c_fequal(X0,X0,X1) ).
cnf(cls_mem__def_0,axiom,
( ~ c_in(X1,X0,X2)
| hBOOL(hAPP(X0,X1)) ) ).
cnf(u15,axiom,
( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X0,X1)))
| c_Arrow__Order__Mirabelle_Odictator(X0,X1) ) ).
cnf(u17,axiom,
( c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X0,X1),c_Arrow__Order__Mirabelle_OProf,X2)
| c_Arrow__Order__Mirabelle_Odictator(X0,X1) ) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X1,X0))
| c_in(X0,X1,X2) ) ).
cnf(cls_dictator__def_1,axiom,
( c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X0,X1),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| c_Arrow__Order__Mirabelle_Odictator(X0,X1) ) ).
cnf(cls_dictator__def_2,axiom,
( hAPP(X0,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X0,X1)) != hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X0,X1),X1)
| c_Arrow__Order__Mirabelle_Odictator(X0,X1) ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_Arrow__Order__Mirabelle_Odictator(v_F,X0) ).
cnf(cls_dictator__def_0,axiom,
( ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| hAPP(X0,X1) = hAPP(X1,X2)
| ~ c_Arrow__Order__Mirabelle_Odictator(X0,X2) ) ).
cnf(u16,axiom,
( ~ c_Arrow__Order__Mirabelle_Odictator(X0,X3)
| hAPP(X0,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X1,X2)) = hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X1,X2),X3)
| c_Arrow__Order__Mirabelle_Odictator(X1,X2) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT029-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 23:30:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 2.74/1.35 % (664321)Input is clausal, will run a generic CNF schedule.
% 2.74/1.35 % (664329)lrs+10_1_sil=8000:sp=occurrence:random_seed=2976394042:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.74/1.35 % (664329)First to succeed.
% 2.74/1.35 % (664329)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-664321"
% 2.74/1.35 % (664327)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2123790569:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.74/1.35 % (664331)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3436893335:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.74/1.35 % (664326)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=267525009:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.74/1.35 % (664328)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1132344633:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.74/1.35 % (664330)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3490118664:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.74/1.35 % (664332)dis-21_1_sil=8000:lcm=predicate:random_seed=3478326128: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)
% 2.74/1.35 % (664331)Refutation not found, incomplete strategy
% 2.74/1.35 % (664331)------------------------------
% 2.74/1.35 % (664331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.35 % (664331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.35 % (664331)CaDiCaL version: 2.1.3
% 2.74/1.35 % (664331)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.35 % (664331)Time elapsed: 0.001 s
% 2.74/1.35 % (664331)Peak memory usage: 87 MB
% 2.74/1.35 % (664332)Instruction limit reached!
% 2.74/1.35 % (664332)------------------------------
% 2.74/1.35 % (664332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.35 % (664332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.35 % (664332)CaDiCaL version: 2.1.3
% 2.74/1.35 % (664332)Termination reason: Instruction limit
% 2.74/1.35 % (664332)Termination phase: Saturation
% 2.74/1.35 % (664332)Time elapsed: 0.049 s
% 2.74/1.35 % (664332)Peak memory usage: 89 MB
% 2.74/1.35 % (664332)Instructions burned: 118 (million)
% 2.74/1.35 % (664330)Instruction limit reached!
% 2.74/1.35 % (664330)------------------------------
% 2.74/1.35 % (664330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.35 % (664330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.35 % (664330)CaDiCaL version: 2.1.3
% 2.74/1.35 % (664330)Termination reason: Instruction limit
% 2.74/1.35 % (664330)Termination phase: Saturation
% 2.74/1.35 % (664330)Time elapsed: 0.059 s
% 2.74/1.35 % (664330)Peak memory usage: 87 MB
% 2.74/1.35 % (664330)Instructions burned: 114 (million)
% 2.74/1.35 % SZS status Satisfiable for theBenchmark
% 2.74/1.35 % SZS output start Saturation.
% See solution above
% 2.74/1.35 % SZS output start Definitions and Model Updates.
% 2.74/1.35 for all inputs,
% 2.74/1.35 define c_Arrow__Order__Mirabelle_OIIA(X0) := $true
% 2.74/1.35 for all inputs,
% 2.74/1.35 define c_Arrow__Order__Mirabelle_Ounanimity(X0) := $true
% 2.74/1.35 % SZS output end Definitions and Model Updates.
% 2.74/1.35 % (664329)------------------------------
% 2.74/1.35 % (664329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.35 % (664329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.35 % (664329)CaDiCaL version: 2.1.3
% 2.74/1.35 % (664329)Termination reason: Satisfiable
% 2.74/1.35 % (664329)Time elapsed: 0.001 s
% 2.74/1.35 % (664329)Peak memory usage: 88 MB
% 2.74/1.35 % (664329)Instructions burned: 1 (million)
% 2.74/1.35 % (664329)------------------------------
% 2.74/1.35 % (664329)------------------------------
% 2.74/1.35 % (664321)Success in time 0.302 s
% 2.74/1.35 % Vampire exiting
%------------------------------------------------------------------------------