%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW375+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:30:13 PM UTC 2026
% Result : Theorem 0.18s 1.70s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 27 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 9 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( c_Com_OWT__bodies
=> ( hAPP(c_Com_Obody,X1) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
=> hBOOL(hAPP(c_Com_OWT,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_WT__bodiesD) ).
fof(f5227,axiom,
c_Com_OWT__bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5229,axiom,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
fof(f5230,conjecture,
hBOOL(hAPP(c_Com_OWT,v_y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
fof(f5231,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,v_y)),
inference(negated_conjecture,[status(cth)],[f5230]) ).
fof(f5232,plain,
~ hBOOL(hAPP(c_Com_OWT,v_y)),
inference(flattening,[],[f5231]) ).
fof(f5239,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Com_OWT,X0))
| hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
| ~ c_Com_OWT__bodies ),
inference(ennf_transformation,[],[f2]) ).
fof(f5240,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Com_OWT,X0))
| hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
| ~ c_Com_OWT__bodies ),
inference(flattening,[],[f5239]) ).
fof(f5284,plain,
c_Com_OWT__bodies,
inference(cnf_transformation,[],[f5227]) ).
fof(f5286,plain,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
inference(cnf_transformation,[],[f5229]) ).
fof(f5287,plain,
~ hBOOL(hAPP(c_Com_OWT,v_y)),
inference(cnf_transformation,[],[f5232]) ).
fof(f5294,plain,
! [X0,X1] :
( hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
| hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Com_OWT__bodies ),
inference(cnf_transformation,[],[f5240]) ).
fof(f5369,plain,
! [X0] :
( hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn)
| hBOOL(hAPP(c_Com_OWT,v_y))
| ~ c_Com_OWT__bodies ),
inference(superposition,[],[f5294,f5286]) ).
fof(f5373,plain,
! [X0] :
( hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn)
| ~ c_Com_OWT__bodies ),
inference(forward_subsumption_resolution,[],[f5369,f5287]) ).
fof(f5374,plain,
! [X0] : hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn),
inference(forward_subsumption_resolution,[],[f5373,f5284]) ).
fof(f5383,plain,
$false,
inference(equality_resolution,[],[f5374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW375+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n019.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 13:44:03 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 0.18/1.70 % (4007497)Detected formulas, will run a generic FOF schedule.
% 0.18/1.70 % (4007503)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=423424379:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 0.18/1.70 % (4007508)dis-21_1_sil=8000:lcm=predicate:random_seed=3742641924:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 0.18/1.70 % (4007507)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1167854445:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 0.18/1.70 % (4007506)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3657699742:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 0.18/1.70 % (4007502)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=1107621278:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 0.18/1.70 % (4007504)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=1883369931:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 0.18/1.70 % (4007505)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=445647804:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 0.18/1.70 % (4007505)First to succeed.
% 0.18/1.70 % (4007505)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4007497"
% 0.18/1.70 % (4007507)Instruction limit reached!
% 0.18/1.70 % (4007507)------------------------------
% 0.18/1.70 % (4007507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.70 % (4007507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.70 % (4007507)CaDiCaL version: 2.1.3
% 0.18/1.70 % (4007507)Termination reason: Instruction limit
% 0.18/1.70 % (4007507)Termination phase: SInE selection
% 0.18/1.70 % (4007507)Time elapsed: 0.057 s
% 0.18/1.70 % (4007507)Peak memory usage: 90 MB
% 0.18/1.70 % (4007507)Instructions burned: 140 (million)
% 0.18/1.70 % (4007506)Instruction limit reached!
% 0.18/1.70 % (4007506)------------------------------
% 0.18/1.70 % (4007506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.70 % (4007506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.70 % (4007506)CaDiCaL version: 2.1.3
% 0.18/1.70 % (4007506)Termination reason: Instruction limit
% 0.18/1.70 % (4007506)Termination phase: Property scanning
% 0.18/1.70 % (4007506)Time elapsed: 0.073 s
% 0.18/1.70 % (4007506)Peak memory usage: 93 MB
% 0.18/1.70 % (4007506)Instructions burned: 119 (million)
% 0.18/1.70 % (4007508)Instruction limit reached!
% 0.18/1.70 % (4007508)------------------------------
% 0.18/1.70 % (4007508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.70 % (4007508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.70 % (4007508)CaDiCaL version: 2.1.3
% 0.18/1.70 % (4007508)Termination reason: Instruction limit
% 0.18/1.70 % (4007508)Termination phase: Preprocessing 3
% 0.18/1.70 % (4007508)Time elapsed: 0.082 s
% 0.18/1.70 % (4007508)Peak memory usage: 93 MB
% 0.18/1.70 % (4007508)Instructions burned: 130 (million)
% 0.18/1.70 % (4007517)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2508176060:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 0.18/1.70 % (4007516)lrs+10_1_sil=8000:sp=occurrence:random_seed=2257027283:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 0.18/1.70 % (4007518)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1737050149:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 0.18/1.70 % (4007518)Also succeeded, but the first one will report.
% 0.18/1.70 % (4007505)Refutation found. Thanks to Tanya!
% 0.18/1.70 % SZS status Theorem for theBenchmark
% 0.18/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.70 % (4007505)------------------------------
% 0.18/1.70 % (4007505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.70 % (4007505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.70 % (4007505)CaDiCaL version: 2.1.3
% 0.18/1.70 % (4007505)Termination reason: Refutation
% 0.18/1.70 % (4007505)Time elapsed: 0.029 s
% 0.18/1.70 % (4007505)Peak memory usage: 94 MB
% 0.18/1.70 % (4007505)Instructions burned: 39 (million)
% 0.18/1.70 % (4007505)------------------------------
% 0.18/1.70 % (4007505)------------------------------
% 0.18/1.70 % (4007497)Success in time 0.861 s
% 0.18/1.70 % Vampire exiting
%------------------------------------------------------------------------------