%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV836-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 01:26:30 PM UTC 2026
% Result : Unsatisfiable 1.60s 0.60s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 23 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f489,axiom,
! [X0,X1] : c_Collect(X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
fof(f576,axiom,
! [X0,X1] : c_Collect(c_fequal(X0,X1),X1) = c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
fof(f617,axiom,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(X1,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X3)
| ~ 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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__derivs_Oinsert_0) ).
fof(f668,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f669,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1018,plain,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(X1,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X3)
| 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) ),
inference(consistent_polarity_flipping,[],[f617]) ).
fof(f1049,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,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),
inference(consistent_polarity_flipping,[],[f668]) ).
fof(f1050,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(consistent_polarity_flipping,[],[f669]) ).
fof(f1051,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(v_t,v_tsa,tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(consistent_polarity_flipping,[],[f670]) ).
fof(f1420,plain,
! [X0,X1] : c_fequal(X0,X1) = c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
inference(forward_demodulation,[],[f576,f489]) ).
fof(f1421,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(superposition,[],[f1049,f1420]) ).
fof(f7456,plain,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(X1,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(X1,tc_Hoare__Mirabelle_Otriple(X3)),X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X3) ),
inference(forward_demodulation,[],[f1018,f1420]) ).
fof(f7457,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a) ),
inference(resolution,[],[f7456,f1051]) ).
fof(f7487,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(forward_subsumption_resolution,[],[f7457,f1421]) ).
fof(f7488,plain,
$false,
inference(forward_subsumption_resolution,[],[f7487,f1050]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n026.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 12:44:12 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25 Running first-order model finding
% 0.10/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.60/0.60 % (3827875)Will run a generic schedule for satisfiability detection.
% 1.60/0.60 % (3827891)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1833772219:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.60/0.60 % (3827885)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4052700574_2999 on theBenchmark for (2999ds/0Mi)
% 1.60/0.60 % (3827886)% WARNING: option uhcvi not known.
% 1.60/0.60 % (3827886)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1596278284:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.60/0.60 % (3827888)dis+10_1_sil=32000:sp=arity:random_seed=2508965500:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.60/0.60 % (3827889)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3969933318:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.60/0.60 % (3827887)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4189770118:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.60/0.60 % (3827890)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1565935609:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.60/0.60 % (3827891)Instruction limit reached!
% 1.60/0.60 % (3827891)------------------------------
% 1.60/0.60 % (3827891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.60 % (3827891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.60 % (3827891)CaDiCaL version: 2.1.3
% 1.60/0.60 % (3827891)Termination reason: Instruction limit
% 1.60/0.60 % (3827891)Termination phase: Saturation
% 1.60/0.60 % (3827891)Time elapsed: 0.086 s
% 1.60/0.60 % (3827891)Peak memory usage: 13 MB
% 1.60/0.60 % (3827891)Instructions burned: 160 (million)
% 1.60/0.60 % (3827900)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3443398751:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.60/0.60 % (3827888)Instruction limit reached!
% 1.60/0.60 % (3827888)------------------------------
% 1.60/0.60 % (3827888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.60 % (3827888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.60 % (3827888)CaDiCaL version: 2.1.3
% 1.60/0.60 % (3827888)Termination reason: Instruction limit
% 1.60/0.60 % (3827888)Termination phase: Saturation
% 1.60/0.60 % (3827888)Time elapsed: 0.111 s
% 1.60/0.60 % (3827888)Peak memory usage: 12 MB
% 1.60/0.60 % (3827888)Instructions burned: 103 (million)
% 1.60/0.60 % (3827889)Instruction limit reached!
% 1.60/0.60 % (3827889)------------------------------
% 1.60/0.60 % (3827889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.60 % (3827889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.60 % (3827889)CaDiCaL version: 2.1.3
% 1.60/0.60 % (3827889)Termination reason: Instruction limit
% 1.60/0.60 % (3827889)Termination phase: Saturation
% 1.60/0.60 % (3827889)Time elapsed: 0.117 s
% 1.60/0.60 % (3827889)Peak memory usage: 13 MB
% 1.60/0.60 % (3827889)Instructions burned: 117 (million)
% 1.60/0.60 % (3827902)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4211024933:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.60/0.60 % (3827890)Instruction limit reached!
% 1.60/0.60 % (3827890)------------------------------
% 1.60/0.60 % (3827890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.60 % (3827890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.60 % (3827890)CaDiCaL version: 2.1.3
% 1.60/0.60 % (3827890)Termination reason: Instruction limit
% 1.60/0.60 % (3827890)Termination phase: Saturation
% 1.60/0.60 % (3827890)Time elapsed: 0.130 s
% 1.60/0.60 % (3827890)Peak memory usage: 13 MB
% 1.60/0.60 % (3827890)Instructions burned: 132 (million)
% 1.60/0.60 % (3827903)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1941775903:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.60/0.60 % TRYING [1]
% 1.60/0.60 % TRYING [2]
% 1.60/0.60 % (3827905)ott-21_1_sil=16000:fs=off:random_seed=2585973464:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.60/0.60 % (3827902)Instruction limit reached!
% 1.60/0.60 % (3827902)------------------------------
% 1.60/0.60 % (3827902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.60 % (3827902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.60 % (3827902)CaDiCaL version: 2.1.3
% 1.60/0.60 % (3827902)Termination reason: Instruction limit
% 1.60/0.60 % (3827902)Termination phase: Saturation
% 1.60/0.60 % (3827902)Time elapsed: 0.062 s
% 1.60/0.60 % (3827902)Peak memory usage: 13 MB
% 1.60/0.60 % (3827902)Instructions burned: 132 (million)
% 1.60/0.60 % (3827908)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=450394383:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.60/0.60 % TRYING [3]
% 1.60/0.60 % TRYING [1]
% 1.60/0.60 % TRYING [2]
% 1.60/0.60 % (3827905)Instruction limit reached!
% 1.60/0.60 % (3827905)------------------------------
% 1.60/0.60 % (3827905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.60 % (3827905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.60 % (3827905)CaDiCaL version: 2.1.3
% 1.60/0.60 % (3827905)Termination reason: Instruction limit
% 1.60/0.60 % (3827905)Termination phase: Saturation
% 1.60/0.60 % (3827905)Time elapsed: 0.103 s
% 1.60/0.60 % (3827905)Peak memory usage: 13 MB
% 1.60/0.60 % (3827905)Instructions burned: 180 (million)
% 1.60/0.60 % (3827886) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3827875-3827886"...
% 1.60/0.60 % (3827886)...printing done.
% 1.60/0.60 % (3827886)Refutation found. Thanks to Tanya!
% 1.60/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.60/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.60 % (3827886)------------------------------
% 1.60/0.60 % (3827886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.60 % (3827886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.60 % (3827886)CaDiCaL version: 2.1.3
% 1.60/0.60 % (3827886)Termination reason: Refutation
% 1.60/0.60 % (3827886)Time elapsed: 0.259 s
% 1.60/0.60 % (3827886)Peak memory usage: 15 MB
% 1.60/0.60 % (3827886)Instructions burned: 333 (million)
% 1.60/0.60 % (3827875)Success in time 0.333 s
% 1.60/0.60 % Vampire exiting
%------------------------------------------------------------------------------