%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV836-1 : 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 : n016.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 01:19:37 PM UTC 2026
% Result : Unsatisfiable 3.60s 1.28s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 11 unt; 1 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 11 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f617,axiom,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(X1,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__derivs_Oinsert_0) ).
fof(f631,axiom,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cut_0) ).
fof(f663,axiom,
! [X2,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
| ~ c_lessequals(X1,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_asm_0) ).
fof(f665,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(v_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f666,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_tsa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f667,negated_conjecture,
c_lessequals(v_G,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f670,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(v_t,v_tsa,tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f712,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(v_t,v_tsa,tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,X0,t_a) ),
inference(resolution,[],[f631,f670]) ).
fof(f877,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(v_t,X0,tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,X0,t_a) ),
inference(resolution,[],[f617,f665]) ).
fof(f884,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_tsa,t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G,t_a) ),
inference(resolution,[],[f877,f712]) ).
fof(f893,definition,
( spl0_3
<=> c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f895,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G,t_a)
| spl0_3 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f900,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G,t_a),
inference(forward_subsumption_resolution,[],[f884,f666]) ).
fof(f902,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f900,f893]) ).
fof(f920,plain,
( ~ c_lessequals(v_G,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
| spl0_3 ),
inference(resolution,[],[f895,f663]) ).
fof(f921,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f920,f667]) ).
fof(f922,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f921]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f902]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f922]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s3,s4]) ).
fof(f923,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV836-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n016.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 12:46:18 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 3.60/1.28 % (3594700)Input is clausal, will run a generic CNF schedule.
% 3.60/1.28 % (3594707)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3090837277:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.60/1.28 % (3594708)lrs+10_1_sil=8000:sp=occurrence:random_seed=2092374325:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.60/1.28 % (3594706)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3315812657:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.60/1.28 % (3594705)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=1033767207:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.60/1.28 % (3594710)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2384509119:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.60/1.28 % (3594709)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2336164187:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.60/1.28 % (3594711)dis-21_1_sil=8000:lcm=predicate:random_seed=25424520: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)
% 3.60/1.28 % (3594710)First to succeed.
% 3.60/1.28 % (3594710)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3594700"
% 3.60/1.28 % (3594708)Also succeeded, but the first one will report.
% 3.60/1.28 % (3594711)Instruction limit reached!
% 3.60/1.28 % (3594711)------------------------------
% 3.60/1.28 % (3594711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.28 % (3594711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.28 % (3594711)CaDiCaL version: 2.1.3
% 3.60/1.28 % (3594711)Termination reason: Instruction limit
% 3.60/1.28 % (3594711)Termination phase: Saturation
% 3.60/1.28 % (3594711)Time elapsed: 0.063 s
% 3.60/1.28 % (3594711)Peak memory usage: 89 MB
% 3.60/1.28 % (3594711)Instructions burned: 118 (million)
% 3.60/1.28 % (3594709)Instruction limit reached!
% 3.60/1.28 % (3594709)------------------------------
% 3.60/1.28 % (3594709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.28 % (3594709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.28 % (3594709)CaDiCaL version: 2.1.3
% 3.60/1.28 % (3594709)Termination reason: Instruction limit
% 3.60/1.28 % (3594709)Termination phase: Saturation
% 3.60/1.28 % (3594709)Time elapsed: 0.078 s
% 3.60/1.28 % (3594709)Peak memory usage: 89 MB
% 3.60/1.28 % (3594709)Instructions burned: 114 (million)
% 3.60/1.28 % (3594719)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=1360814363:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.60/1.28 % (3594719)Also succeeded, but the first one will report.
% 3.60/1.28 % (3594720)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1026606893: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)
% 3.60/1.28 % (3594720)Also succeeded, but the first one will report.
% 3.60/1.28 % (3594710)Refutation found. Thanks to Tanya!
% 3.60/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.60/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.28 % (3594710)------------------------------
% 3.60/1.28 % (3594710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.28 % (3594710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.28 % (3594710)CaDiCaL version: 2.1.3
% 3.60/1.28 % (3594710)Termination reason: Refutation
% 3.60/1.28 % (3594710)Time elapsed: 0.021 s
% 3.60/1.28 % (3594710)Peak memory usage: 90 MB
% 3.60/1.28 % (3594710)Instructions burned: 35 (million)
% 3.60/1.28 % (3594710)------------------------------
% 3.60/1.28 % (3594710)------------------------------
% 3.60/1.28 % (3594700)Success in time 0.448 s
% 3.60/1.28 % Vampire exiting
%------------------------------------------------------------------------------