%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT080-1 : 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 : n008.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 12:36:53 PM UTC 2026
% Result : Unsatisfiable 3.83s 1.45s
% Output : Refutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f748,axiom,
! [X0] :
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X0),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_const__Lin__Prof_0) ).
fof(f749,axiom,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP(hAPP(c_in(X0),hAPP(X1,X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X4,X0)),X1),c_FuncSet_OPi(X5,c_COMBK(X3,tc_fun(X0,tc_bool),X4),X4,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_funcset__mem_0) ).
fof(f753,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f754,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f755,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f886,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(X1,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),X0),X0,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X0),c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),X1)) ),
inference(resolution,[],[f749,f755]) ).
fof(f987,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf)),
inference(resolution,[],[f754,f886]) ).
fof(f990,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)),
inference(resolution,[],[f987,f748]) ).
fof(f993,plain,
$false,
inference(forward_subsumption_resolution,[],[f990,f753]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT080-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n008.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 23:39:26 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
% 3.83/1.45 % (1727176)Input is clausal, will run a generic CNF schedule.
% 3.83/1.45 % (1727181)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=928203047:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.83/1.45 % (1727183)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1327869271:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.83/1.45 % (1727184)lrs+10_1_sil=8000:sp=occurrence:random_seed=4076917619:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.83/1.45 % (1727187)dis-21_1_sil=8000:lcm=predicate:random_seed=1628536541: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)
% 3.83/1.45 % (1727182)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3887682232:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.83/1.45 % (1727186)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4106594881:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.83/1.45 % (1727185)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2332615829:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.83/1.45 % (1727186)First to succeed.
% 3.83/1.45 % (1727186)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1727176"
% 3.83/1.45 % (1727187)Instruction limit reached!
% 3.83/1.45 % (1727187)------------------------------
% 3.83/1.45 % (1727187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.45 % (1727187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.45 % (1727187)CaDiCaL version: 2.1.3
% 3.83/1.45 % (1727187)Termination reason: Instruction limit
% 3.83/1.45 % (1727187)Termination phase: Saturation
% 3.83/1.45 % (1727187)Time elapsed: 0.066 s
% 3.83/1.45 % (1727187)Peak memory usage: 89 MB
% 3.83/1.45 % (1727187)Instructions burned: 118 (million)
% 3.83/1.45 % (1727184)Instruction limit reached!
% 3.83/1.45 % (1727184)------------------------------
% 3.83/1.45 % (1727184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.45 % (1727184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.45 % (1727184)CaDiCaL version: 2.1.3
% 3.83/1.45 % (1727184)Termination reason: Instruction limit
% 3.83/1.45 % (1727184)Termination phase: Saturation
% 3.83/1.45 % (1727184)Time elapsed: 0.072 s
% 3.83/1.45 % (1727184)Peak memory usage: 89 MB
% 3.83/1.45 % (1727184)Instructions burned: 107 (million)
% 3.83/1.45 % (1727185)Instruction limit reached!
% 3.83/1.45 % (1727185)------------------------------
% 3.83/1.45 % (1727185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.45 % (1727185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.45 % (1727185)CaDiCaL version: 2.1.3
% 3.83/1.45 % (1727185)Termination reason: Instruction limit
% 3.83/1.45 % (1727185)Termination phase: Saturation
% 3.83/1.45 % (1727185)Time elapsed: 0.077 s
% 3.83/1.45 % (1727185)Peak memory usage: 88 MB
% 3.83/1.45 % (1727185)Instructions burned: 114 (million)
% 3.83/1.45 % (1727195)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=3953111916:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.83/1.45 % (1727195)Refutation not found, incomplete strategy
% 3.83/1.45 % (1727195)------------------------------
% 3.83/1.45 % (1727195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.45 % (1727195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.45 % (1727195)CaDiCaL version: 2.1.3
% 3.83/1.45 % (1727195)Termination reason: Refutation not found, incomplete strategy
% 3.83/1.45 % (1727195)Time elapsed: 0.007 s
% 3.83/1.45 % (1727195)Peak memory usage: 88 MB
% 3.83/1.45 % (1727195)Instructions burned: 9 (million)
% 3.83/1.45 % (1727197)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3972010685:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.83/1.45 % (1727196)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3526486448: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)
% 3.83/1.45 % (1727186)Refutation found. Thanks to Tanya!
% 3.83/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.83/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.83/1.45 % (1727186)------------------------------
% 3.83/1.45 % (1727186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.45 % (1727186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.45 % (1727186)CaDiCaL version: 2.1.3
% 3.83/1.45 % (1727186)Termination reason: Refutation
% 3.83/1.45 % (1727186)Time elapsed: 0.039 s
% 3.83/1.45 % (1727186)Peak memory usage: 89 MB
% 3.83/1.45 % (1727186)Instructions burned: 67 (million)
% 3.83/1.45 % (1727186)------------------------------
% 3.83/1.45 % (1727186)------------------------------
% 3.83/1.45 % (1727176)Success in time 0.502 s
% 3.83/1.45 % Vampire exiting
%------------------------------------------------------------------------------