%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV841-1 : 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 : n026.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 01:19:38 PM UTC 2026
% Result : Unsatisfiable 5.52s 1.66s
% Output : Refutation 5.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 10 unt; 2 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 16 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f330,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f404,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
fof(f488,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3),tc_fun(X0,tc_bool))
| ~ c_lessequals(X2,X3,tc_fun(X0,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
fof(f502,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),tc_fun(X1,tc_bool))
| ~ c_lessequals(X0,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
fof(f511,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_weaken_0) ).
fof(f587,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f588,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f616,definition,
( spl0_1
<=> c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f618,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| spl0_1 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f620,definition,
( spl0_2
<=> c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f623,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f588,f620,f616]) ).
fof(f683,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),X4),X1),X2)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_lessequals(X0,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)) ),
inference(resolution,[],[f502,f511]) ).
fof(f741,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),X4),X1),X2)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),X4),X0),X2)
| ~ c_lessequals(X0,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)) ),
inference(resolution,[],[f488,f511]) ).
fof(f1068,plain,
! [X0] :
( ~ c_lessequals(X0,v_ts,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,X0,t_a) ),
inference(resolution,[],[f683,f587]) ).
fof(f1089,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a),
inference(resolution,[],[f1068,f404]) ).
fof(f1091,plain,
spl0_2,
inference(avatar_split_clause,[],[f1089,f620]) ).
fof(f1323,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),X0),t_a)
| ~ c_lessequals(X0,v_ts,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
inference(resolution,[],[f741,f587]) ).
fof(f1346,plain,
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_ts,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
| spl0_1 ),
inference(resolution,[],[f1323,f618]) ).
fof(f1370,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1346,f330]) ).
fof(f1371,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1370]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f623]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f1091]) ).
cnf(s12,plain,
spl0_1,
inference(sat_conversion,[],[f1371]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s1,s3,s12]) ).
fof(f1372,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV841-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n026.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 12:44:27 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 5.52/1.66 % (3828604)Input is clausal, will run a generic CNF schedule.
% 5.52/1.66 % (3828753)dis-21_1_sil=8000:lcm=predicate:random_seed=4097584939: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)
% 5.52/1.66 % (3828747)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=1530631580:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.52/1.66 % (3828751)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1910437559:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.52/1.66 % (3828750)lrs+10_1_sil=8000:sp=occurrence:random_seed=4270542450:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.52/1.66 % (3828752)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3040853280:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.52/1.66 % (3828748)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4086560258:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.52/1.66 % (3828749)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2362763985:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.52/1.66 % (3828753)Instruction limit reached!
% 5.52/1.66 % (3828753)------------------------------
% 5.52/1.66 % (3828753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (3828753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (3828753)CaDiCaL version: 2.1.3
% 5.52/1.66 % (3828753)Termination reason: Instruction limit
% 5.52/1.66 % (3828753)Termination phase: Saturation
% 5.52/1.66 % (3828753)Time elapsed: 0.093 s
% 5.52/1.66 % (3828753)Peak memory usage: 88 MB
% 5.52/1.66 % (3828753)Instructions burned: 118 (million)
% 5.52/1.66 % (3828750)First to succeed.
% 5.52/1.66 % (3828750)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3828604"
% 5.52/1.66 % (3828751)Instruction limit reached!
% 5.52/1.66 % (3828751)------------------------------
% 5.52/1.66 % (3828751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (3828751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (3828751)CaDiCaL version: 2.1.3
% 5.52/1.66 % (3828751)Termination reason: Instruction limit
% 5.52/1.66 % (3828751)Termination phase: Saturation
% 5.52/1.66 % (3828751)Time elapsed: 0.109 s
% 5.52/1.66 % (3828751)Peak memory usage: 89 MB
% 5.52/1.66 % (3828751)Instructions burned: 114 (million)
% 5.52/1.66 % (3828752)Instruction limit reached!
% 5.52/1.66 % (3828752)------------------------------
% 5.52/1.66 % (3828752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (3828752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (3828752)CaDiCaL version: 2.1.3
% 5.52/1.66 % (3828752)Termination reason: Instruction limit
% 5.52/1.66 % (3828752)Termination phase: Saturation
% 5.52/1.66 % (3828752)Time elapsed: 0.150 s
% 5.52/1.66 % (3828752)Peak memory usage: 89 MB
% 5.52/1.66 % (3828752)Instructions burned: 180 (million)
% 5.52/1.66 % (3828765)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=3039766789:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 5.52/1.66 % (3828768)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2896687467:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 5.52/1.66 % (3828768)Also succeeded, but the first one will report.
% 5.52/1.66 % (3828765)Instruction limit reached!
% 5.52/1.66 % (3828765)------------------------------
% 5.52/1.66 % (3828765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (3828765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (3828765)CaDiCaL version: 2.1.3
% 5.52/1.66 % (3828765)Termination reason: Instruction limit
% 5.52/1.66 % (3828765)Termination phase: Saturation
% 5.52/1.66 % (3828765)Time elapsed: 0.095 s
% 5.52/1.66 % (3828765)Peak memory usage: 88 MB
% 5.52/1.66 % (3828765)Instructions burned: 144 (million)
% 5.52/1.66 % (3828769)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4159944268:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.52/1.66 % (3828750)Refutation found. Thanks to Tanya!
% 5.52/1.66 % SZS status Unsatisfiable for theBenchmark
% 5.52/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 5.52/1.66 % (3828750)------------------------------
% 5.52/1.66 % (3828750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (3828750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (3828750)CaDiCaL version: 2.1.3
% 5.52/1.66 % (3828750)Termination reason: Refutation
% 5.52/1.66 % (3828750)Time elapsed: 0.052 s
% 5.52/1.66 % (3828750)Peak memory usage: 90 MB
% 5.52/1.66 % (3828750)Instructions burned: 51 (million)
% 5.52/1.66 % (3828750)------------------------------
% 5.52/1.66 % (3828750)------------------------------
% 5.52/1.66 % (3828604)Success in time 0.73 s
% 5.52/1.66 % Vampire exiting
%------------------------------------------------------------------------------