%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL434-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 11:58:39 AM UTC 2026
% Result : Unsatisfiable 0.56s 0.63s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 11 unt; 2 def)
% Number of atoms : 34 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 10 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X2,X0,X1] :
( c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,X1,tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL005-0.ax',cls_PropLog_Othms_OH_0) ).
fof(f240,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertE_0) ).
fof(f1450,axiom,
! [X2,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).
fof(f1451,axiom,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
fof(f1452,negated_conjecture,
c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1453,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2134,plain,
( c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
| v_pa = v_p ),
inference(resolution,[],[f240,f1452]) ).
fof(f2136,definition,
( spl0_1
<=> v_pa = v_p ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f2138,plain,
( v_pa = v_p
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f2136]) ).
fof(f2140,definition,
( spl0_2
<=> c_in(v_pa,v_H,tc_PropLog_Opl(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f2143,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f2134,f2140,f2136]) ).
fof(f2562,plain,
~ c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1451,f1453]) ).
fof(f2564,plain,
~ c_in(v_pa,v_H,tc_PropLog_Opl(t_a)),
inference(resolution,[],[f2562,f12]) ).
fof(f2567,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f2564,f2140]) ).
fof(f2575,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pa,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ spl0_1 ),
inference(superposition,[],[f1453,f2138]) ).
fof(f2577,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f2575,f1450]) ).
fof(f2578,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f2577]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f2143]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f2567]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f2578]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f2579,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL434-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n020.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 15:43:34 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.63 % (3560277)Will run a generic schedule for satisfiability detection.
% 0.56/0.63 % (3560287)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1933769164:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.56/0.63 % (3560283)% WARNING: option uhcvi not known.
% 0.56/0.63 % (3560282)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2057513347_2999 on theBenchmark for (2999ds/0Mi)
% 0.56/0.63 % (3560284)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1717336829:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.56/0.63 % (3560285)dis+10_1_sil=32000:sp=arity:random_seed=2626629202:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.56/0.63 % (3560286)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3320427206:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.56/0.63 % (3560283)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4134035125:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.56/0.63 % (3560288)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3175412207:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.56/0.63 % (3560287)Instruction limit reached!
% 0.56/0.63 % (3560287)------------------------------
% 0.56/0.63 % (3560287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.63 % (3560287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.63 % (3560287)CaDiCaL version: 2.1.3
% 0.56/0.63 % (3560287)Termination reason: Instruction limit
% 0.56/0.63 % (3560287)Termination phase: Saturation
% 0.56/0.63 % (3560287)Time elapsed: 0.070 s
% 0.56/0.63 % (3560287)Peak memory usage: 15 MB
% 0.56/0.63 % (3560287)Instructions burned: 133 (million)
% 0.56/0.63 % (3560285) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3560277-3560285"...
% 0.56/0.63 % (3560285)...printing done.
% 0.56/0.63 % (3560285)Refutation found. Thanks to Tanya!
% 0.56/0.63 % SZS status Unsatisfiable for theBenchmark
% 0.56/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.63 % (3560285)------------------------------
% 0.56/0.63 % (3560285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.63 % (3560285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.63 % (3560285)CaDiCaL version: 2.1.3
% 0.56/0.63 % (3560285)Termination reason: Refutation
% 0.56/0.63 % (3560285)Time elapsed: 0.063 s
% 0.56/0.63 % (3560285)Peak memory usage: 14 MB
% 0.56/0.63 % (3560285)Instructions burned: 54 (million)
% 0.56/0.63 % (3560277)Success in time 0.13 s
% 0.56/0.63 % Vampire exiting
%------------------------------------------------------------------------------