TSTP Solution File: COM010-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COM010-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:53:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-4 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,plain,
$false,
inference(subsumption_resolution,[],[f39,f4]) ).
fof(f4,axiom,
v_F != v_G,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f39,plain,
v_F = v_G,
inference(superposition,[],[f25,f27]) ).
fof(f27,plain,
v_F = c_UNITY_Omk__program(c_Pair(sF0,c_Pair(sF2,sF4,tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a),
inference(forward_demodulation,[],[f26,f9]) ).
fof(f9,plain,
c_UNITY_OActs(v_F,t_a) = sF2,
introduced(function_definition,[]) ).
fof(f26,plain,
v_F = c_UNITY_Omk__program(c_Pair(sF0,c_Pair(c_UNITY_OActs(v_F,t_a),sF4,tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a),
inference(forward_demodulation,[],[f18,f12]) ).
fof(f12,plain,
c_UNITY_OAllowedActs(v_F,t_a) = sF4,
introduced(function_definition,[]) ).
fof(f18,plain,
v_F = c_UNITY_Omk__program(c_Pair(sF0,c_Pair(c_UNITY_OActs(v_F,t_a),c_UNITY_OAllowedActs(v_F,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a),
inference(superposition,[],[f5,f6]) ).
fof(f6,plain,
c_UNITY_OInit(v_F,t_a) = sF0,
introduced(function_definition,[]) ).
fof(f5,axiom,
! [X0,X1] : c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X0,X1),c_Pair(c_UNITY_OActs(X0,X1),c_UNITY_OAllowedActs(X0,X1),tc_set(tc_set(tc_prod(X1,X1))),tc_set(tc_set(tc_prod(X1,X1)))),tc_set(X1),tc_prod(tc_set(tc_set(tc_prod(X1,X1))),tc_set(tc_set(tc_prod(X1,X1))))),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Osurjective__mk__program_0) ).
fof(f25,plain,
v_G = c_UNITY_Omk__program(c_Pair(sF0,c_Pair(sF2,sF4,tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a),
inference(forward_demodulation,[],[f24,f11]) ).
fof(f11,plain,
sF2 = sF3,
inference(definition_folding,[],[f2,f10,f9]) ).
fof(f10,plain,
c_UNITY_OActs(v_G,t_a) = sF3,
introduced(function_definition,[]) ).
fof(f2,axiom,
c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f24,plain,
v_G = c_UNITY_Omk__program(c_Pair(sF0,c_Pair(sF3,sF4,tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a),
inference(forward_demodulation,[],[f23,f10]) ).
fof(f23,plain,
v_G = c_UNITY_Omk__program(c_Pair(sF0,c_Pair(c_UNITY_OActs(v_G,t_a),sF4,tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a),
inference(forward_demodulation,[],[f17,f15]) ).
fof(f15,plain,
c_UNITY_OAllowedActs(v_G,t_a) = sF4,
inference(forward_demodulation,[],[f13,f14]) ).
fof(f14,plain,
sF4 = sF5,
inference(definition_folding,[],[f3,f13,f12]) ).
fof(f3,axiom,
c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f13,plain,
c_UNITY_OAllowedActs(v_G,t_a) = sF5,
introduced(function_definition,[]) ).
fof(f17,plain,
v_G = c_UNITY_Omk__program(c_Pair(sF0,c_Pair(c_UNITY_OActs(v_G,t_a),c_UNITY_OAllowedActs(v_G,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a),
inference(superposition,[],[f5,f16]) ).
fof(f16,plain,
c_UNITY_OInit(v_G,t_a) = sF0,
inference(forward_demodulation,[],[f7,f8]) ).
fof(f8,plain,
sF0 = sF1,
inference(definition_folding,[],[f1,f7,f6]) ).
fof(f1,axiom,
c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f7,plain,
c_UNITY_OInit(v_G,t_a) = sF1,
introduced(function_definition,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM010-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 17:01:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (19925)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (19952)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.50 % (19936)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (19944)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50 % (19936)First to succeed.
% 0.19/0.50 % (19933)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (19946)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51 % (19939)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (19938)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 % (19930)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (19941)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (19929)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (19952)Also succeeded, but the first one will report.
% 0.19/0.51 % (19923)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (19940)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (19944)Also succeeded, but the first one will report.
% 0.19/0.51 % (19936)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (19936)------------------------------
% 0.19/0.51 % (19936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (19936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (19936)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (19936)Memory used [KB]: 5373
% 0.19/0.51 % (19936)Time elapsed: 0.106 s
% 0.19/0.51 % (19936)Instructions burned: 2 (million)
% 0.19/0.51 % (19936)------------------------------
% 0.19/0.51 % (19936)------------------------------
% 0.19/0.51 % (19922)Success in time 0.163 s
%------------------------------------------------------------------------------