%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV921-1 : 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 : n001.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 01:19:48 PM UTC 2026
% Result : Unsatisfiable 5.41s 1.62s
% Output : Refutation 5.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-5 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f880,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_Conform_Olconf(X0,X1,X2,X3,X4)
| ~ c_Objects_Ohext(X5,X1)
| ~ c_Conform_Olconf(X0,X5,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lconf__hext_0) ).
fof(f886,axiom,
! [X2,X3,X0,X1,X4] :
( hAPP(X0,X1) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),X2),X3))
| c_Objects_Ohext(X0,c_Fun_Ofun__upd(X0,X1,hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),X2),X4)),tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hext__upd__obj_0) ).
fof(f914,axiom,
hAPP(v_ha______,v_a______) = hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),v_C______),v_fs______)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_RedFAss_Ohyps_0) ).
fof(f916,axiom,
c_Conform_Olconf(v_P,v_ha______,v_la______,v_E____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_RedFAss_I3_J_0) ).
fof(f921,negated_conjecture,
~ c_Conform_Olconf(v_P,c_Fun_Ofun__upd(v_ha______,v_a______,hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),v_C______),c_Fun_Ofun__upd(v_fs______,hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),v_F______),v_D______),hAPP(c_Option_Ooption_OSome(tc_Value_Oval),v_v______),tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),v_la______,v_E____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f935,plain,
~ c_Objects_Ohext(v_ha______,c_Fun_Ofun__upd(v_ha______,v_a______,hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),v_C______),c_Fun_Ofun__upd(v_fs______,hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),v_F______),v_D______),hAPP(c_Option_Ooption_OSome(tc_Value_Oval),v_v______),tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))))),
inference(unit_resulting_resolution,[],[f880,f916,f921]) ).
fof(f939,plain,
$false,
inference(unit_resulting_resolution,[],[f886,f914,f935]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV921-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n001.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 13:00:18 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 5.41/1.62 % (330021)Input is clausal, will run a generic CNF schedule.
% 5.41/1.62 % (330027)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4204113456:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.41/1.62 % (330030)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1721807482:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.41/1.62 % (330031)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3657353609:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.41/1.62 % (330026)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=1082016928:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.41/1.62 % (330028)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1829236076:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.41/1.62 % (330029)lrs+10_1_sil=8000:sp=occurrence:random_seed=3246617384:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.41/1.62 % (330032)dis-21_1_sil=8000:lcm=predicate:random_seed=2380413000: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)
% 5.41/1.62 % (330032)Instruction limit reached!
% 5.41/1.62 % (330032)------------------------------
% 5.41/1.62 % (330032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.62 % (330032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.62 % (330032)CaDiCaL version: 2.1.3
% 5.41/1.62 % (330032)Termination reason: Instruction limit
% 5.41/1.62 % (330032)Termination phase: Saturation
% 5.41/1.62 % (330032)Time elapsed: 0.047 s
% 5.41/1.62 % (330032)Peak memory usage: 88 MB
% 5.41/1.62 % (330032)Instructions burned: 118 (million)
% 5.41/1.62 % (330030)Instruction limit reached!
% 5.41/1.62 % (330030)------------------------------
% 5.41/1.62 % (330030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.62 % (330030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.62 % (330030)CaDiCaL version: 2.1.3
% 5.41/1.62 % (330030)Termination reason: Instruction limit
% 5.41/1.62 % (330030)Termination phase: Saturation
% 5.41/1.62 % (330030)Time elapsed: 0.058 s
% 5.41/1.62 % (330030)Peak memory usage: 88 MB
% 5.41/1.62 % (330030)Instructions burned: 115 (million)
% 5.41/1.62 % (330029)Instruction limit reached!
% 5.41/1.62 % (330029)------------------------------
% 5.41/1.62 % (330029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.62 % (330029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.62 % (330029)CaDiCaL version: 2.1.3
% 5.41/1.62 % (330029)Termination reason: Instruction limit
% 5.41/1.62 % (330029)Termination phase: Saturation
% 5.41/1.62 % (330029)Time elapsed: 0.069 s
% 5.41/1.62 % (330029)Peak memory usage: 90 MB
% 5.41/1.62 % (330029)Instructions burned: 108 (million)
% 5.41/1.62 % (330031)Instruction limit reached!
% 5.41/1.62 % (330031)------------------------------
% 5.41/1.62 % (330031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.62 % (330031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.62 % (330031)CaDiCaL version: 2.1.3
% 5.41/1.62 % (330031)Termination reason: Instruction limit
% 5.41/1.62 % (330031)Termination phase: Saturation
% 5.41/1.62 % (330031)Time elapsed: 0.095 s
% 5.41/1.62 % (330031)Peak memory usage: 89 MB
% 5.41/1.62 % (330031)Instructions burned: 180 (million)
% 5.41/1.62 % (330041)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2879382002: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)
% 5.41/1.62 % (330040)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=1786825159:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.41/1.62 % (330040)Refutation not found, incomplete strategy
% 5.41/1.62 % (330040)------------------------------
% 5.41/1.62 % (330040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.62 % (330040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.62 % (330040)CaDiCaL version: 2.1.3
% 5.41/1.62 % (330040)Termination reason: Refutation not found, incomplete strategy
% 5.41/1.62 % (330040)Time elapsed: 0.010 s
% 5.41/1.62 % (330040)Peak memory usage: 88 MB
% 5.41/1.62 % (330040)Instructions burned: 16 (million)
% 5.41/1.62 % (330042)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2106949453:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 5.41/1.62 % (330043)lrs+10_64_to=lpo:sil=8000:random_seed=1360968503:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.41/1.62 % (330041)First to succeed.
% 5.41/1.62 % (330041)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-330021"
% 5.41/1.62 % (330043)Instruction limit reached!
% 5.41/1.62 % (330043)------------------------------
% 5.41/1.62 % (330043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.62 % (330043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.62 % (330043)CaDiCaL version: 2.1.3
% 5.41/1.62 % (330043)Termination reason: Instruction limit
% 5.41/1.62 % (330043)Termination phase: Saturation
% 5.41/1.62 % (330043)Time elapsed: 0.068 s
% 5.41/1.62 % (330043)Peak memory usage: 90 MB
% 5.41/1.62 % (330043)Instructions burned: 126 (million)
% 5.41/1.62 % (330042)Instruction limit reached!
% 5.41/1.62 % (330042)------------------------------
% 5.41/1.62 % (330042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.62 % (330042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.62 % (330042)CaDiCaL version: 2.1.3
% 5.41/1.62 % (330042)Termination reason: Instruction limit
% 5.41/1.62 % (330042)Termination phase: Saturation
% 5.41/1.62 % (330042)Time elapsed: 0.115 s
% 5.41/1.62 % (330042)Peak memory usage: 91 MB
% 5.41/1.62 % (330042)Instructions burned: 219 (million)
% 5.41/1.62 % (330048)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3125747095:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.41/1.62 % (330040)------------------------------
% 5.41/1.62 % (330040)------------------------------
% 5.41/1.62 % (330049)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=966323941:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.41/1.62 % (330027)Also succeeded, but the first one will report.
% 5.41/1.62 % (330041)Refutation found. Thanks to Tanya!
% 5.41/1.62 % SZS status Unsatisfiable for theBenchmark
% 5.41/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 5.41/1.62 % (330041)------------------------------
% 5.41/1.62 % (330041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.62 % (330041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.62 % (330041)CaDiCaL version: 2.1.3
% 5.41/1.62 % (330041)Termination reason: Refutation
% 5.41/1.62 % (330041)Time elapsed: 0.075 s
% 5.41/1.62 % (330041)Peak memory usage: 90 MB
% 5.41/1.62 % (330041)Instructions burned: 161 (million)
% 5.41/1.62 % (330041)------------------------------
% 5.41/1.62 % (330041)------------------------------
% 5.41/1.62 % (330021)Success in time 0.747 s
% 5.41/1.62 % Vampire exiting
%------------------------------------------------------------------------------