%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW383+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:30:14 PM UTC 2026
% Result : Theorem 3.90s 1.27s
% Output : Refutation 3.90s
% 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(f6,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/sandbox/benchmark/theBenchmark.p',fact_WT__bodiesD) ).
fof(f5242,axiom,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f5246,axiom,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(f5248,conjecture,
hBOOL(hAPP(c_Com_OWT,v_y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
fof(f5249,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,v_y)),
inference(negated_conjecture,[status(cth)],[f5248]) ).
fof(f5250,plain,
~ hBOOL(hAPP(c_Com_OWT,v_y)),
inference(flattening,[],[f5249]) ).
fof(f5252,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,[],[f6]) ).
fof(f5253,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,[],[f5252]) ).
fof(f5390,plain,
c_Com_OWT__bodies,
inference(cnf_transformation,[],[f5242]) ).
fof(f5394,plain,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
inference(cnf_transformation,[],[f5246]) ).
fof(f5396,plain,
~ hBOOL(hAPP(c_Com_OWT,v_y)),
inference(cnf_transformation,[],[f5250]) ).
fof(f5397,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,[],[f5253]) ).
fof(f5613,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,[],[f5397,f5394]) ).
fof(f5647,plain,
! [X0] :
( hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn)
| ~ c_Com_OWT__bodies ),
inference(forward_subsumption_resolution,[],[f5613,f5396]) ).
fof(f5648,plain,
! [X0] : hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn),
inference(forward_subsumption_resolution,[],[f5647,f5390]) ).
fof(f5653,plain,
$false,
inference(equality_resolution,[],[f5648]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW383+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n010.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 13:45:32 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 3.90/1.27 % (1929916)Detected formulas, will run a generic FOF schedule.
% 3.90/1.27 % (1929921)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=1489702406:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.90/1.27 % (1929925)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=620403709:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.90/1.27 % (1929926)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4276826574:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.90/1.27 % (1929927)dis-21_1_sil=8000:lcm=predicate:random_seed=3621721799:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 3.90/1.27 % (1929924)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1498600036:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.90/1.27 % (1929923)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=3031534159:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.90/1.27 % (1929922)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=2615062883:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.90/1.27 % (1929924)First to succeed.
% 3.90/1.27 % (1929924)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1929916"
% 3.90/1.27 % (1929926)Instruction limit reached!
% 3.90/1.27 % (1929926)------------------------------
% 3.90/1.27 % (1929926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.27 % (1929926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.27 % (1929926)CaDiCaL version: 2.1.3
% 3.90/1.27 % (1929926)Termination reason: Instruction limit
% 3.90/1.27 % (1929926)Termination phase: SInE selection
% 3.90/1.27 % (1929926)Time elapsed: 0.055 s
% 3.90/1.27 % (1929926)Peak memory usage: 90 MB
% 3.90/1.27 % (1929926)Instructions burned: 139 (million)
% 3.90/1.27 % (1929925)Instruction limit reached!
% 3.90/1.27 % (1929925)------------------------------
% 3.90/1.27 % (1929925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.27 % (1929925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.27 % (1929925)CaDiCaL version: 2.1.3
% 3.90/1.27 % (1929925)Termination reason: Instruction limit
% 3.90/1.27 % (1929925)Termination phase: Property scanning
% 3.90/1.27 % (1929925)Time elapsed: 0.073 s
% 3.90/1.27 % (1929925)Peak memory usage: 93 MB
% 3.90/1.27 % (1929925)Instructions burned: 121 (million)
% 3.90/1.27 % (1929927)Instruction limit reached!
% 3.90/1.27 % (1929927)------------------------------
% 3.90/1.27 % (1929927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.27 % (1929927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.27 % (1929927)CaDiCaL version: 2.1.3
% 3.90/1.27 % (1929927)Termination reason: Instruction limit
% 3.90/1.27 % (1929927)Termination phase: Preprocessing 3
% 3.90/1.27 % (1929927)Time elapsed: 0.083 s
% 3.90/1.27 % (1929927)Peak memory usage: 93 MB
% 3.90/1.27 % (1929927)Instructions burned: 130 (million)
% 3.90/1.27 % (1929935)lrs+10_1_sil=8000:sp=occurrence:random_seed=1809188009:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.90/1.27 % (1929936)lrs+10_1_sil=32000:urr=on:br=off:random_seed=776375791:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 3.90/1.27 % (1929937)lrs+1011_1_sil=32000:sp=occurrence:random_seed=336108401:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 3.90/1.27 % (1929937)Also succeeded, but the first one will report.
% 3.90/1.27 % (1929924)Refutation found. Thanks to Tanya!
% 3.90/1.27 % SZS status Theorem for theBenchmark
% 3.90/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.27 % (1929924)------------------------------
% 3.90/1.27 % (1929924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.27 % (1929924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.27 % (1929924)CaDiCaL version: 2.1.3
% 3.90/1.27 % (1929924)Termination reason: Refutation
% 3.90/1.27 % (1929924)Time elapsed: 0.040 s
% 3.90/1.27 % (1929924)Peak memory usage: 95 MB
% 3.90/1.27 % (1929924)Instructions burned: 59 (million)
% 3.90/1.27 % (1929924)------------------------------
% 3.90/1.27 % (1929924)------------------------------
% 3.90/1.27 % (1929916)Success in time 0.64 s
% 3.90/1.27 % Vampire exiting
%------------------------------------------------------------------------------