%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV892-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:19:44 PM UTC 2026
% Result : Unsatisfiable 8.03s 1.86s
% Output : Refutation 8.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 16 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f715,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X1),c_Map_Odom(X0,X2,X3)))
| hAPP(X0,X1) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X1,X0,X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_domD_0) ).
fof(f720,axiom,
! [X0,X1] : c_Option_Othe(c_Option_Ooption_OSome(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_the_Osimps_0) ).
fof(f745,axiom,
! [X0,X1] :
( hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom)
| ~ c_Com_OWT__bodies
| c_Com_OWT(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__bodiesD_0) ).
fof(f750,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f752,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f753,negated_conjecture,
~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f912,plain,
! [X0,X1] :
( hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom)
| c_Com_OWT(X1) ),
inference(forward_subsumption_resolution,[],[f745,f750]) ).
fof(f1160,plain,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom),
inference(unit_resulting_resolution,[],[f715,f752]) ).
fof(f1161,plain,
c_Com_OWT(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom)),
inference(unit_resulting_resolution,[],[f912,f1160]) ).
fof(f1163,plain,
c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom) = c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),
inference(superposition,[],[f720,f1160]) ).
fof(f1165,plain,
c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
inference(forward_demodulation,[],[f1161,f1163]) ).
fof(f1167,plain,
$false,
inference(forward_subsumption_resolution,[],[f1165,f753]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV892-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.16 % Computer : n012.cluster.edu
% 0.06/0.16 % Model : x86_64 x86_64
% 0.06/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.16 % Memory : 8046.5625MB
% 0.06/0.16 % OS : Linux 6.8.0-71-generic
% 0.06/0.16 % CPULimit : 300
% 0.06/0.16 % WCLimit : 300
% 0.06/0.16 % DateTime : Mon Sep 28 12:51:34 UTC 2026
% 0.06/0.16 % CPUTime :
% 0.06/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 Running first-order theorem proving
% 0.06/0.19 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
% 8.03/1.86 % (3355444)Input is clausal, will run a generic CNF schedule.
% 8.03/1.86 % (3355449)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=241485587:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.03/1.86 % (3355451)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3929779086:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.03/1.86 % (3355455)dis-21_1_sil=8000:lcm=predicate:random_seed=2816662990: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)
% 8.03/1.86 % (3355454)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4132142236:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.03/1.86 % (3355450)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=142446922:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.03/1.86 % (3355452)lrs+10_1_sil=8000:sp=occurrence:random_seed=1282914358:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.03/1.86 % (3355453)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3469246223:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.03/1.86 % (3355455)Instruction limit reached!
% 8.03/1.86 % (3355455)------------------------------
% 8.03/1.86 % (3355455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/1.86 % (3355455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.86 % (3355455)CaDiCaL version: 2.1.3
% 8.03/1.86 % (3355455)Termination reason: Instruction limit
% 8.03/1.86 % (3355455)Termination phase: Saturation
% 8.03/1.86 % (3355455)Time elapsed: 0.053 s
% 8.03/1.86 % (3355455)Peak memory usage: 89 MB
% 8.03/1.86 % (3355455)Instructions burned: 117 (million)
% 8.03/1.86 % (3355452)Instruction limit reached!
% 8.03/1.86 % (3355452)------------------------------
% 8.03/1.86 % (3355452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/1.86 % (3355452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.86 % (3355452)CaDiCaL version: 2.1.3
% 8.03/1.86 % (3355452)Termination reason: Instruction limit
% 8.03/1.86 % (3355452)Termination phase: Saturation
% 8.03/1.86 % (3355452)Time elapsed: 0.061 s
% 8.03/1.86 % (3355452)Peak memory usage: 89 MB
% 8.03/1.86 % (3355452)Instructions burned: 108 (million)
% 8.03/1.86 % (3355453)Instruction limit reached!
% 8.03/1.86 % (3355453)------------------------------
% 8.03/1.86 % (3355453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/1.86 % (3355453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.86 % (3355453)CaDiCaL version: 2.1.3
% 8.03/1.86 % (3355453)Termination reason: Instruction limit
% 8.03/1.86 % (3355453)Termination phase: Saturation
% 8.03/1.86 % (3355453)Time elapsed: 0.064 s
% 8.03/1.86 % (3355453)Peak memory usage: 89 MB
% 8.03/1.86 % (3355453)Instructions burned: 115 (million)
% 8.03/1.86 % (3355454)Instruction limit reached!
% 8.03/1.86 % (3355454)------------------------------
% 8.03/1.86 % (3355454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/1.86 % (3355454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.86 % (3355454)CaDiCaL version: 2.1.3
% 8.03/1.86 % (3355454)Termination reason: Instruction limit
% 8.03/1.86 % (3355454)Termination phase: Saturation
% 8.03/1.86 % (3355454)Time elapsed: 0.103 s
% 8.03/1.86 % (3355454)Peak memory usage: 90 MB
% 8.03/1.86 % (3355454)Instructions burned: 181 (million)
% 8.03/1.86 % (3355465)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1440249537:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.03/1.86 % (3355464)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2669335597: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)
% 8.03/1.86 % (3355463)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=1453388438:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.03/1.86 % (3355466)lrs+10_64_to=lpo:sil=8000:random_seed=2177336519:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.03/1.86 % (3355463)Instruction limit reached!
% 8.03/1.86 % (3355463)------------------------------
% 8.03/1.86 % (3355463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/1.86 % (3355463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.86 % (3355463)CaDiCaL version: 2.1.3
% 8.03/1.86 % (3355463)Termination reason: Instruction limit
% 8.03/1.86 % (3355463)Termination phase: Saturation
% 8.03/1.86 % (3355463)Time elapsed: 0.074 s
% 8.03/1.86 % (3355463)Peak memory usage: 89 MB
% 8.03/1.86 % (3355463)Instructions burned: 146 (million)
% 8.03/1.86 % (3355464)Instruction limit reached!
% 8.03/1.86 % (3355464)------------------------------
% 8.03/1.86 % (3355464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/1.86 % (3355464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.86 % (3355464)CaDiCaL version: 2.1.3
% 8.03/1.86 % (3355464)Termination reason: Instruction limit
% 8.03/1.86 % (3355464)Termination phase: Saturation
% 8.03/1.86 % (3355464)Time elapsed: 0.098 s
% 8.03/1.86 % (3355464)Peak memory usage: 91 MB
% 8.03/1.86 % (3355464)Instructions burned: 190 (million)
% 8.03/1.86 % (3355465)Instruction limit reached!
% 8.03/1.86 % (3355465)------------------------------
% 8.03/1.86 % (3355465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/1.86 % (3355465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.86 % (3355465)CaDiCaL version: 2.1.3
% 8.03/1.86 % (3355465)Termination reason: Instruction limit
% 8.03/1.86 % (3355465)Termination phase: Saturation
% 8.03/1.86 % (3355465)Time elapsed: 0.116 s
% 8.03/1.86 % (3355465)Peak memory usage: 90 MB
% 8.03/1.86 % (3355465)Instructions burned: 220 (million)
% 8.03/1.86 % (3355466)Instruction limit reached!
% 8.03/1.86 % (3355466)------------------------------
% 8.03/1.86 % (3355466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/1.86 % (3355466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.86 % (3355466)CaDiCaL version: 2.1.3
% 8.03/1.86 % (3355466)Termination reason: Instruction limit
% 8.03/1.86 % (3355466)Termination phase: Saturation
% 8.03/1.86 % (3355466)Time elapsed: 0.067 s
% 8.03/1.86 % (3355466)Peak memory usage: 89 MB
% 8.03/1.86 % (3355466)Instructions burned: 128 (million)
% 8.03/1.86 % (3355471)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3268218065:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.03/1.86 % (3355472)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2124556191:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.03/1.86 % (3355473)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1562369613:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.03/1.86 % (3355474)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=254009688:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.03/1.86 % (3355450)First to succeed.
% 8.03/1.86 % (3355450)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3355444"
% 8.03/1.86 % (3355471)Instruction limit reached!
% 8.03/1.86 % (3355471)------------------------------
% 8.03/1.86 % (3355471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/1.86 % (3355471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.86 % (3355471)CaDiCaL version: 2.1.3
% 8.03/1.86 % (3355471)Termination reason: Instruction limit
% 8.03/1.86 % (3355471)Termination phase: Saturation
% 8.03/1.86 % (3355471)Time elapsed: 0.107 s
% 8.03/1.86 % (3355471)Peak memory usage: 90 MB
% 8.03/1.86 % (3355471)Instructions burned: 194 (million)
% 8.03/1.86 % (3355449)Also succeeded, but the first one will report.
% 8.03/1.86 % (3355472)Instruction limit reached!
% 8.03/1.86 % (3355472)------------------------------
% 8.03/1.86 % (3355472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/1.86 % (3355472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.86 % (3355472)CaDiCaL version: 2.1.3
% 8.03/1.86 % (3355472)Termination reason: Instruction limit
% 8.03/1.86 % (3355472)Termination phase: Saturation
% 8.03/1.86 % (3355472)Time elapsed: 0.081 s
% 8.03/1.86 % (3355472)Peak memory usage: 91 MB
% 8.03/1.86 % (3355472)Instructions burned: 159 (million)
% 8.03/1.86 % (3355451)Also succeeded, but the first one will report.
% 8.03/1.86 % (3355474)Instruction limit reached!
% 8.03/1.86 % (3355474)------------------------------
% 8.03/1.86 % (3355474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/1.86 % (3355474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.86 % (3355474)CaDiCaL version: 2.1.3
% 8.03/1.86 % (3355474)Termination reason: Instruction limit
% 8.03/1.86 % (3355474)Termination phase: Saturation
% 8.03/1.86 % (3355474)Time elapsed: 0.054 s
% 8.03/1.86 % (3355474)Peak memory usage: 90 MB
% 8.03/1.86 % (3355474)Instructions burned: 106 (million)
% 8.03/1.86 % (3355481)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=701098712:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.03/1.86 % (3355479)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1804698150:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 8.03/1.86 % (3355479)Also succeeded, but the first one will report.
% 8.03/1.86 % (3355480)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=27744175:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.03/1.86 % (3355450)Refutation found. Thanks to Tanya!
% 8.03/1.86 % SZS status Unsatisfiable for theBenchmark
% 8.03/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 8.03/1.86 % (3355450)------------------------------
% 8.03/1.86 % (3355450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/1.86 % (3355450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.86 % (3355450)CaDiCaL version: 2.1.3
% 8.03/1.86 % (3355450)Termination reason: Refutation
% 8.03/1.86 % (3355450)Time elapsed: 0.622 s
% 8.03/1.86 % (3355450)Peak memory usage: 139 MB
% 8.03/1.86 % (3355450)Instructions burned: 1228 (million)
% 8.03/1.86 % (3355450)------------------------------
% 8.03/1.86 % (3355450)------------------------------
% 8.03/1.86 % (3355444)Success in time 1.091 s
% 8.03/1.86 % Vampire exiting
%------------------------------------------------------------------------------